Scroll:Mensuration >> circumference of cylinder and cone >> ps (4133)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 38m . and height of the cylinder is 24m. Find the cost of canvas needed to make the tent, if the cost of canvas is 15.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
24m
36m
38m


Answer:_______________




2)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 40m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 11.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
15m
36m
40m


Answer:_______________




3)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 48m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 13.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
21m
36m
48m


Answer:_______________




4)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 49m. Diameter of the base is 44m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 14.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
15m
49m
44m


Answer:_______________




5)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 64m. Diameter of the base is 32m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 13.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
21m
64m
32m


Answer:_______________




6)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 64m. Diameter of the base is 34m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 10.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
15m
64m
34m


Answer:_______________




7)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 81m. Diameter of the base is 44m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 14.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
27m
81m
44m


Answer:_______________




8)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 32m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 13.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
27m
36m
32m


Answer:_______________




9)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 64m. Diameter of the base is 44m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 14.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
21m
64m
44m


Answer:_______________




10)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 49m. Diameter of the base is 36m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 10.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
27m
49m
36m


Answer:_______________




 

1)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 38m . and height of the cylinder is 24m. Find the cost of canvas needed to make the tent, if the cost of canvas is 15.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
24m
36m
38m

Answer: 76822


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 38m

Radius, r = 19m

Height, (h) = 24m

Conical Part :

Radius, r = 19m

Height, h1 = 36 - 19 = 17m

Slant height, l =   h12 + r2

  172 + 192

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 19 x ( 2 x 24 + 35)

=   227 x 19 x 83

= 346947

 Area of the canvas= 4956.29m2

Now, the cost of canvas per Sq.m = 15.50

Thus, the total cost of the canvas = 4956.29 x 15.50 = 76822. 

 



2)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 40m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 11.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
15m
36m
40m

Answer: 46986


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 40m

Radius, r = 20m

Height, (h) = 15m

Conical Part :

Radius, r = 20m

Height, h1 = 36 - 20 = 16m

Slant height, l =   h12 + r2

  162 + 202

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 20 x ( 2 x 15 + 35)

=   227 x 20 x 65

= 286007

 Area of the canvas= 4085.71m2

Now, the cost of canvas per Sq.m = 11.50

Thus, the total cost of the canvas = 4085.71 x 11.50 = 46986. 

 



3)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 48m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 13.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
21m
36m
48m

Answer: 78408


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 48m

Radius, r = 24m

Height, (h) = 21m

Conical Part :

Radius, r = 24m

Height, h1 = 36 - 24 = 12m

Slant height, l =   h12 + r2

  122 + 242

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 24 x ( 2 x 21 + 35)

=   227 x 24 x 77

= 406567

 Area of the canvas= 5808.00m2

Now, the cost of canvas per Sq.m = 13.50

Thus, the total cost of the canvas = 5808.00 x 13.50 = 78408. 

 



4)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 49m. Diameter of the base is 44m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 14.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
15m
49m
44m

Answer: 65167


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 44m

Radius, r = 22m

Height, (h) = 15m

Conical Part :

Radius, r = 22m

Height, h1 = 49 - 22 = 27m

Slant height, l =   h12 + r2

  272 + 222

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 22 x ( 2 x 15 + 35)

=   227 x 22 x 65

= 314607

 Area of the canvas= 4494.29m2

Now, the cost of canvas per Sq.m = 14.50

Thus, the total cost of the canvas = 4494.29 x 14.50 = 65167. 

 



5)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 64m. Diameter of the base is 32m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 13.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
21m
64m
32m

Answer: 52272


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 32m

Radius, r = 16m

Height, (h) = 21m

Conical Part :

Radius, r = 16m

Height, h1 = 64 - 16 = 48m

Slant height, l =   h12 + r2

  482 + 162

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 16 x ( 2 x 21 + 35)

=   227 x 16 x 77

= 271047

 Area of the canvas= 3872.00m2

Now, the cost of canvas per Sq.m = 13.50

Thus, the total cost of the canvas = 3872.00 x 13.50 = 52272. 

 



6)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 64m. Diameter of the base is 34m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 10.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
15m
64m
34m

Answer: 36465


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 34m

Radius, r = 17m

Height, (h) = 15m

Conical Part :

Radius, r = 17m

Height, h1 = 64 - 17 = 47m

Slant height, l =   h12 + r2

  472 + 172

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 17 x ( 2 x 15 + 35)

=   227 x 17 x 65

= 243107

 Area of the canvas= 3472.86m2

Now, the cost of canvas per Sq.m = 10.50

Thus, the total cost of the canvas = 3472.86 x 10.50 = 36465. 

 



7)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 81m. Diameter of the base is 44m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 14.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
27m
81m
44m

Answer: 89229


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 44m

Radius, r = 22m

Height, (h) = 27m

Conical Part :

Radius, r = 22m

Height, h1 = 81 - 22 = 59m

Slant height, l =   h12 + r2

  592 + 222

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 22 x ( 2 x 27 + 35)

=   227 x 22 x 89

= 430767

 Area of the canvas= 6153.71m2

Now, the cost of canvas per Sq.m = 14.50

Thus, the total cost of the canvas = 6153.71 x 14.50 = 89229. 

 



8)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 36m. Diameter of the base is 32m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 13.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
27m
36m
32m

Answer: 60418


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 32m

Radius, r = 16m

Height, (h) = 27m

Conical Part :

Radius, r = 16m

Height, h1 = 36 - 16 = 20m

Slant height, l =   h12 + r2

  202 + 162

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 16 x ( 2 x 27 + 35)

=   227 x 16 x 89

= 313287

 Area of the canvas= 4475.43m2

Now, the cost of canvas per Sq.m = 13.50

Thus, the total cost of the canvas = 4475.43 x 13.50 = 60418. 

 



9)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 64m. Diameter of the base is 44m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 14.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
21m
64m
44m

Answer: 77198


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 44m

Radius, r = 22m

Height, (h) = 21m

Conical Part :

Radius, r = 22m

Height, h1 = 64 - 22 = 42m

Slant height, l =   h12 + r2

  422 + 222

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 22 x ( 2 x 21 + 35)

=   227 x 22 x 77

= 372687

 Area of the canvas= 5324.00m2

Now, the cost of canvas per Sq.m = 14.50

Thus, the total cost of the canvas = 5324.00 x 14.50 = 77198. 

 



10)  

A circus tent is to be erected in the form in the from of a cone surmounted on a cylinder. The total height of the tent is 49m. Diameter of the base is 36m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 10.50/ m2. (take π = 227 ) (write answer the nearest round number)

 
 
27m
49m
36m

Answer: 52866


SOLUTION 1 :

Cylindrical part

Diameter, 2r = 36m

Radius, r = 18m

Height, (h) = 27m

Conical Part :

Radius, r = 18m

Height, h1 = 49 - 18 = 31m

Slant height, l =   h12 + r2

  312 + 182

=   784 + 441

=   1225 = 35m.

 Total area or the canvas needed 

 = CSA of the cylindrical part + CSA of the conical part

 = 2πrh + πrl = πr(2h + l)

= 227 x 18 x ( 2 x 27 + 35)

=   227 x 18 x 89

= 352447

 Area of the canvas= 5034.86m2

Now, the cost of canvas per Sq.m = 10.50

Thus, the total cost of the canvas = 5034.86 x 10.50 = 52866.