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A 3-dimensional cone is placed on top of a 3-dimensional cylinder. One of the cylinder bases is common to the cone, with the same circumference.
A 3D modeler is designing a component of a castle in a video game. She places a cone on top of a cylinder so they line up and share the same radius. The cone and the cylinder share the same height. If the volume of the cone is 50 cm^3
, what is the volume of the whole object?
(1 point)
cm^3
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200 cm^3
Reason: cone volume = (1/3)πr^2h = 50 ⇒ πr^2h = 150. Whole volume = πr^2h + (1/3)πr^2h = (4/3)πr^2h = (4/3)*150 = 200.
Reason: cone volume = (1/3)πr^2h = 50 ⇒ πr^2h = 150. Whole volume = πr^2h + (1/3)πr^2h = (4/3)πr^2h = (4/3)*150 = 200.
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