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 49m. Diameter of the base is 38m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 27m 49m 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 50m . and height of the cylinder is 18m. Find the cost of canvas needed to make the tent, if the cost of canvas is 18m 36m 50m
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 40m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 27m 36m 40m
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 81m. 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 21m 81m 32m
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 81m. Diameter of the base is 38m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 15m 81m 38m
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 36m. Diameter of the base is 38m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 15m 36m 38m
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 40m . and height of the cylinder is 24m. Find the cost of canvas needed to make the tent, if the cost of canvas is 24m 81m 40m
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 49m. Diameter of the base is 34m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 27m 49m 34m
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 36m. Diameter of the base is 30m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 21m 36m 30m
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 81m. Diameter of the base is 42m . and height of the cylinder is 18m. Find the cost of canvas needed to make the tent, if the cost of canvas is 18m 81m 42m
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 49m. Diameter of the base is 38m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 27m 49m 38m
SOLUTION 1 : Cylindrical part Diameter, 2r = 38m Radius, r = 19m Height, (h) = 27m Conical Part : Radius, r = 19m Height, h1 = 49 - 19 = 30m Slant height, l = √ h12 + r2 √ 302 + 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) = x 19 x ( 2 x 27 + 35) = x 19 x 89 = Area of the canvas= 5314.57m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 5314.57 x 12.50 =
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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 50m . and height of the cylinder is 18m. Find the cost of canvas needed to make the tent, if the cost of canvas is 18m 36m 50m
SOLUTION 1 : Cylindrical part Diameter, 2r = 50m Radius, r = 25m Height, (h) = 18m Conical Part : Radius, r = 25m Height, h1 = 36 - 25 = 11m Slant height, l = √ h12 + r2 √ 112 + 252 =√ 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) = x 25 x ( 2 x 18 + 35) = x 25 x 71 = Area of the canvas= 5578.57m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 5578.57 x 14.50 =
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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 40m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 27m 36m 40m
SOLUTION 1 : Cylindrical part Diameter, 2r = 40m Radius, r = 20m Height, (h) = 27m 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) = x 20 x ( 2 x 27 + 35) = x 20 x 89 = Area of the canvas= 5594.29m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 5594.29 x 12.50 =
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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 81m. 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 21m 81m 32m
SOLUTION 1 : Cylindrical part Diameter, 2r = 32m Radius, r = 16m Height, (h) = 21m Conical Part : Radius, r = 16m Height, h1 = 81 - 16 = 65m Slant height, l = √ h12 + r2 √ 652 + 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) = x 16 x ( 2 x 21 + 35) = x 16 x 77 = Area of the canvas= 3872.00m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 3872.00 x 10.50 =
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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 81m. Diameter of the base is 38m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 15m 81m 38m
SOLUTION 1 : Cylindrical part Diameter, 2r = 38m Radius, r = 19m Height, (h) = 15m Conical Part : Radius, r = 19m Height, h1 = 81 - 19 = 62m Slant height, l = √ h12 + r2 √ 622 + 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) = x 19 x ( 2 x 15 + 35) = x 19 x 65 = Area of the canvas= 3881.43m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 3881.43 x 10.50 =
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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 36m. Diameter of the base is 38m . and height of the cylinder is 15m. Find the cost of canvas needed to make the tent, if the cost of canvas is 15m 36m 38m
SOLUTION 1 : Cylindrical part Diameter, 2r = 38m Radius, r = 19m Height, (h) = 15m 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) = x 19 x ( 2 x 15 + 35) = x 19 x 65 = Area of the canvas= 3881.43m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 3881.43 x 12.50 =
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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 40m . and height of the cylinder is 24m. Find the cost of canvas needed to make the tent, if the cost of canvas is 24m 81m 40m
SOLUTION 1 : Cylindrical part Diameter, 2r = 40m Radius, r = 20m Height, (h) = 24m Conical Part : Radius, r = 20m Height, h1 = 81 - 20 = 61m Slant height, l = √ h12 + r2 √ 612 + 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) = x 20 x ( 2 x 24 + 35) = x 20 x 83 = Area of the canvas= 5217.14m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 5217.14 x 12.50 =
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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 49m. Diameter of the base is 34m . and height of the cylinder is 27m. Find the cost of canvas needed to make the tent, if the cost of canvas is 27m 49m 34m
SOLUTION 1 : Cylindrical part Diameter, 2r = 34m Radius, r = 17m Height, (h) = 27m Conical Part : Radius, r = 17m Height, h1 = 49 - 17 = 32m Slant height, l = √ h12 + r2 √ 322 + 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) = x 17 x ( 2 x 27 + 35) = x 17 x 89 = Area of the canvas= 4755.14m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 4755.14 x 10.50 =
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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 36m. Diameter of the base is 30m . and height of the cylinder is 21m. Find the cost of canvas needed to make the tent, if the cost of canvas is 21m 36m 30m
SOLUTION 1 : Cylindrical part Diameter, 2r = 30m Radius, r = 15m Height, (h) = 21m Conical Part : Radius, r = 15m Height, h1 = 36 - 15 = 21m Slant height, l = √ h12 + r2 √ 212 + 152 =√ 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) = x 15 x ( 2 x 21 + 35) = x 15 x 77 = Area of the canvas= 3630.00m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 3630.00 x 11.50 =
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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 81m. Diameter of the base is 42m . and height of the cylinder is 18m. Find the cost of canvas needed to make the tent, if the cost of canvas is 18m 81m 42m
SOLUTION 1 : Cylindrical part Diameter, 2r = 42m Radius, r = 21m Height, (h) = 18m Conical Part : Radius, r = 21m Height, h1 = 81 - 21 = 60m Slant height, l = √ h12 + r2 √ 602 + 212 =√ 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) = x 21 x ( 2 x 18 + 35) = x 21 x 71 = Area of the canvas= 4686.00m2 Now, the cost of canvas per Sq.m = Thus, the total cost of the canvas = 4686.00 x 10.50 =
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