Question

the volume of a cone is 1,782 cubic centimeters. a cylinder has the same radius and height as the cone. what is the volume of the cylinder? a. 594 cubic centimeters b. 3,564 cubic centimeters c. 5,346 cubic centimeters d. 1,782 cubic centimeters

Explanation:

Step1: Recall volume formulas

The volume formula for a cone is $V_{cone}=\frac{1}{3}\pi r^{2}h$, and for a cylinder is $V_{cylinder}=\pi r^{2}h$.

Step2: Analyze the relationship

Since the cylinder and the cone have the same radius $r$ and height $h$, and $V_{cylinder} = 3\times V_{cone}$.

Step3: Calculate the volume of the cylinder

Given $V_{cone}=1782$ cubic - centimeters, then $V_{cylinder}=3\times1782 = 5346$ cubic - centimeters.

Answer:

C. 5,346 cubic centimeters