Question

what measurement do you need to calculate the volume of a cylinder? a. diameter b. circumference c. surface area d. radius which of the following is true about comparing the volume of a cylinder and a rectangular prism with the same base area? a. the cylinder always has greater volume. b. the rectangular prism always has greater volume. c. the shape with the smaller radius will always have more volume. d. the volumes depend on the height of each shape.

Explanation:

Step1: Recall volume formula of cylinder

The volume formula of a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height. So radius is needed to calculate the volume.

Step2: Recall volume - comparison concept

The volume of a cylinder is $V_{cylinder}=\pi r^{2}h$ and the volume of a rectangular prism is $V_{prism}=Bh$ (where $B$ is the base - area). When $B = \pi r^{2}$ (same base - area), the volumes depend on the height $h$ of each shape.

Answer:

1. d. Radius
2. d. The volumes depend on the height of each shape.