Question

Use the image to answer the question.

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 cm3
, what is the volume of the whole object?

(1 point)
cm3

Answer 1

Volume of cone = (1/3)πr^2h = 50. Cylinder volume = πr^2h = 3*(1/3)πr^2h = 3*50 = 150. Total = 50 + 150 = 200 cm^3.