Scroll:Mensuration >> volume of cone >> ps (4131)


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)  

 Radius and slant height of a cone are 11 cm and 34 cm respectively. Find its volume.

 
34cm
 
11cm
 
 

cm3


Answer:_______________




2)  

 Radius and slant height of a cone are 19 cm and 30 cm respectively. Find its volume.

 
30cm
 
19cm
 
 

cm3


Answer:_______________




3)  

 Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume.

 
26cm
 
19cm
 
 

cm3


Answer:_______________




4)  

 Radius and slant height of a cone are 19 cm and 28 cm respectively. Find its volume.

 
28cm
 
19cm
 
 

cm3


Answer:_______________




5)  

 Radius and slant height of a cone are 12 cm and 34 cm respectively. Find its volume.

 
34cm
 
12cm
 
 

cm3


Answer:_______________




6)  

 Radius and slant height of a cone are 12 cm and 30 cm respectively. Find its volume.

 
30cm
 
12cm
 
 

cm3


Answer:_______________




7)  

 Radius and slant height of a cone are 18 cm and 30 cm respectively. Find its volume.

 
30cm
 
18cm
 
 

cm3


Answer:_______________




8)  

 Radius and slant height of a cone are 11 cm and 35 cm respectively. Find its volume.

 
35cm
 
11cm
 
 

cm3


Answer:_______________




9)  

 Radius and slant height of a cone are 22 cm and 27 cm respectively. Find its volume.

 
27cm
 
22cm
 
 

cm3


Answer:_______________




10)  

 Radius and slant height of a cone are 12 cm and 33 cm respectively. Find its volume.

 
33cm
 
12cm
 
 

cm3


Answer:_______________




 

1)  

 Radius and slant height of a cone are 11 cm and 34 cm respectively. Find its volume.

 
34cm
 
11cm
 
 

Answer: 4077.93 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 11 cm

slant height ( l ) =  34 cm

      Height (h)  =     l2-r2  =   342- 112

            =   1156-121   =   1035 

height (h)  =  32.17 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 11 x 11 x 32.17 

Volume of the cone = 4077.93cm3

 



2)  

 Radius and slant height of a cone are 19 cm and 30 cm respectively. Find its volume.

 
30cm
 
19cm
 
 

Answer: 8781.58 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 19 cm

slant height ( l ) =  30 cm

      Height (h)  =     l2-r2  =   302- 192

            =   900-361   =   539 

height (h)  =  23.22 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 19 x 19 x 23.22 

Volume of the cone = 8781.58cm3

 



3)  

 Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume.

 
26cm
 
19cm
 
 

Answer: 6712.88 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 19 cm

slant height ( l ) =  26 cm

      Height (h)  =     l2-r2  =   262- 192

            =   676-361   =   315 

height (h)  =  17.75 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 19 x 19 x 17.75 

Volume of the cone = 6712.88cm3

 



4)  

 Radius and slant height of a cone are 19 cm and 28 cm respectively. Find its volume.

 
28cm
 
19cm
 
 

Answer: 7779.38 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 19 cm

slant height ( l ) =  28 cm

      Height (h)  =     l2-r2  =   282- 192

            =   784-361   =   423 

height (h)  =  20.57 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 19 x 19 x 20.57 

Volume of the cone = 7779.38cm3

 



5)  

 Radius and slant height of a cone are 12 cm and 34 cm respectively. Find its volume.

 
34cm
 
12cm
 
 

Answer: 4798.77 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 12 cm

slant height ( l ) =  34 cm

      Height (h)  =     l2-r2  =   342- 122

            =   1156-144   =   1012 

height (h)  =  31.81 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 12 x 12 x 31.81 

Volume of the cone = 4798.77cm3

 



6)  

 Radius and slant height of a cone are 12 cm and 30 cm respectively. Find its volume.

 
30cm
 
12cm
 
 

Answer: 4148.57 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 12 cm

slant height ( l ) =  30 cm

      Height (h)  =     l2-r2  =   302- 122

            =   900-144   =   756 

height (h)  =  27.50 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 12 x 12 x 27.50 

Volume of the cone = 4148.57cm3

 



7)  

 Radius and slant height of a cone are 18 cm and 30 cm respectively. Find its volume.

 
30cm
 
18cm
 
 

Answer: 8146.29 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 18 cm

slant height ( l ) =  30 cm

      Height (h)  =     l2-r2  =   302- 182

            =   900-324   =   576 

height (h)  =  24.00 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 18 x 18 x 24.00 

Volume of the cone = 8146.29cm3

 



8)  

 Radius and slant height of a cone are 11 cm and 35 cm respectively. Find its volume.

 
35cm
 
11cm
 
 

Answer: 4212.30 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 11 cm

slant height ( l ) =  35 cm

      Height (h)  =     l2-r2  =   352- 112

            =   1225-121   =   1104 

height (h)  =  33.23 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 11 x 11 x 33.23 

Volume of the cone = 4212.30cm3

 



9)  

 Radius and slant height of a cone are 22 cm and 27 cm respectively. Find its volume.

 
27cm
 
22cm
 
 

Answer: 7935.30 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 22 cm

slant height ( l ) =  27 cm

      Height (h)  =     l2-r2  =   272- 222

            =   729-484   =   245 

height (h)  =  15.65 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 22 x 22 x 15.65 

Volume of the cone = 7935.30cm3

 



10)  

 Radius and slant height of a cone are 12 cm and 33 cm respectively. Find its volume.

 
33cm
 
12cm
 
 

Answer: 4637.35 cm3


SOLUTION 1 :

Given: 

Rarius (r) = 12 cm

slant height ( l ) =  33 cm

      Height (h)  =     l2-r2  =   332- 122

            =   1089-144   =   945 

height (h)  =  30.74 cm

Volume of the cone = 13 π r2h cubic unis.

13 x 227 x 12 x 12 x 30.74 

Volume of the cone = 4637.35cm3