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. 1,782 cubic centimeters
b. 3,564 cubic centimeters
c. 5,346 cubic centimeters
d. 594 cubic centimeters

Explanation:

Step1: Recall volume formulas

Volume of cone $V_{cone}=\frac{1}{3}\pi r^{2}h$, volume of cylinder $V_{cylinder}=\pi r^{2}h$.

Step2: Find relationship

If $r$ and $h$ are the same, $V_{cylinder}=3V_{cone}$.

Step3: Calculate volume

$V_{cylinder}=3\times1782 = 5346$ cubic - cm.

Answer:

C. 5,346 cubic centimeters