Q.1. (A) Find the volume of each cylinder. (use π = 3.14)
(i)
Volume =____
Ans. 1,243.44 in3
(ii)
Volume = ____
Ans. 54,259.2 ft3
(iii)
Volume = ____
Ans. 23,804.34 yd3
(B) Find the volume of each cylinder from the given parameters. (use π = 3.14)
(i) height = 9 ft ; radius = 3 ft
Volume = ____
Ans. 254.34 ft3
(ii) radius = 13 yd ; height = 8 yd
Volume = ____
Ans. 4,245.28 yd3
(iii) radius = 16 in ; height = 27 in
Volume = ____
Ans. 21,703.68 in3
(iv) height = 15 ft ; radius = 10 ft
Volume = ____
Ans. 4,710 ft3
(v) A cylindrical flower vase is 11-inch tall. Find the volume of the vase, if the radius is 4 inches. (use π = 3.14)
Ans. 552.64 cubic inches
Q.2. (A) Find the volume of each triangular pyramid. Round your answer to two decimal places.
(i) Base Area = 40 ft2
Volume = ____
Ans. 240 ft3
(ii) Base Area = 119 in2
Volume = ____
Ans. 872.67 in3
(iii) Base Area = 55 yd2
Volume = ____
Ans. 495 yd3
(iv) Base Area = 76 in2
Volume = ____
Ans. 734.67 in3
(v) Base Area = 23 yd2
Volume = ____
Ans. 46 yd3
(vi) Base Area = 84 ft2
Volume = ____
Ans. 308 ft3
(B) The base area of a triangular pyramid is 65 square feet. Determine the volume, if its height is 24 feet.
Ans. 520 cubic feet
(C) A triangular pyramid has a height of 14 inches and a base area of 94 square inches. Find the volume of the pyramid. Round your answer to two decimal places.
Ans. 438.67 cubic inches
Q.3. (A) Find the indicated measure. Round your answer to the nearest tenth. (use π = 3.14)
(i) Volume = 157 ft3
height = ____
Ans. 7.4 ft
(ii) Volume = 910.6 yd3
diameter = ____
Ans. 10 yd
(iii) Volume = 9820.58 in3
height = ____
Ans. 21.7 in
(B) Find the indicated measure. Round your answer to the nearest tenth. (use π = 3.14)
(i) Volume = 41,436 ft3 ; radius = 22.5 ft
height = ____
Ans. 26.1 ft
(ii) Volume = 68.13 yd3 ; height = 2.4 yd
radius = ____
Ans. 3 yd
(iii) Volume = 5,126.62 in3 ; height = 17 in
diameter = ____
Ans. 19.6 in
(iv) Volume = 8,011.96 ft3 ; diameter = 30.2 ft
height = ____
Ans. 11.2 ft
(C) A cylindrical oil pipe measures 4 feet in diameter and 251.2 cubic feet in volume. What is the height of the oil pipe? Round your answer to the nearest tenth. (use π = 3.14)
Ans. 20 feet
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