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12 Cards in this Set
- Front
- Back
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What is the formula for finding the volume of a cone?
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V=(1/3)(π)(r²)(h)
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What is the formula for finding the volume of a cylinder?
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V=(π)(r²)(h)
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What is the formula for finding the volume of a sphere?
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V=(4/3)(π)(r³)
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Find the volume of a cone with a diameter of 12 inches and a height of 18 inches. Leave your answer in terms of Pi.
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V=(1/3)(π)(r²)(h)
V=(1/3)(π)(6 in)²(18 in) V=(1/3)(π)(36 in²)(18 in) V=216π in³ |
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Find the volume of a sphere with a 45 cm diameter. Leave your answer in terms of Pi.
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V=(4/3)(π)(r³)
V=(4/3)(π)(22.5 cm)³ V=(4/3)(π)(11,390.625 cm³) V=15,187.5π cm³ |
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Find the volume of a cylinder with a radius of 5m and a height of 7m. Leave your answer in terms of Pi.
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V=(π)(r²)(h)
V=(π)(5m)²(7m) V=(π)(25m²)(7m) V=175π m³ |
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A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill the well? Round your answer to the nearest tenth of a foot.
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V=(π)(r²)(h)
V=(π)(10 ft)²(15 ft) V=(π)(100 ft²)(15 ft) V= 1500π ft³ |
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Pablo sells snow cones. He uses cone-shaped paper cups that have a diameter of 3.5 inches and 4 inches, as shown in the picture. What is the volume of the paper cups Pablo uses? Round your answer to the nearest tenth of an inch.
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V=(1/3)(π)(r²)(h)
V=(1/3)(π)(1.75 in)²(4 in) V=(1/3)(π)(3.0625 in²)(4 in) V=12.8 in³ |
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A tennis ball has a radius of 12cm. If you could fill the tennis ball up with water, what is the volume of water it would hold? Round your answer to the nearest tenth of a centimeter.
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V=(4/3)(π)(r³)
V=(4/3)(π)(12 cm)³ V=(4/3)(π)(1728 cm³) V=7,238.2 cm³ |
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A cylinder-shaped water tank has a radius of 4m and a height of 9m. What is the volume of the cylinder? Round your answer to the nearest tenth of a meter.
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V=(π)(r²)(h)
V=(π)(4 m)²(9 m) V=(π)(16 m²)(9 m) V=452.4 m³ |
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Anya filled the birthday hats that she gave away at her birthday party with candy. The hats were cone-shaped with a diameter of 3 in and a height of 7 in. What is the volume of candy the hats would hold? Round your answer to the nearest tenth of an inch.
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V=(1/3)(π)(r²)(h)
V=(1/3)(π)(1.5 in)²(7in) V=(1/3)(π)(2.25 in²)(7in) V=16.5 in³ |
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A sphere vase has a radius of 18 cm. What is its volume?
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V=(4/3)(π)(r³)
V=(4/3)(π)(18 cm)³ V=(4/3)(π)(5,832 cm³) V=24,429.0 cm³ |
