Question

a right cylindrical can has a volume of 263.1 cm³. what is the volume of a right cone with the same base and the same height, to the nearest tenth of a centimeter? select one: a. 87.7 cm b. 91.7 cm c. 131.6 cm d. 89.7 cm

Explanation:

Step1: Recall volume formulas

The volume formula for a cylinder is $V_{cylinder}=\pi r^{2}h$, and for a cone with the same base - radius $r$ and height $h$ is $V_{cone}=\frac{1}{3}\pi r^{2}h$. So, $V_{cone}=\frac{1}{3}V_{cylinder}$.

Step2: Calculate cone volume

Given $V_{cylinder} = 263.1\ cm^{3}$, then $V_{cone}=\frac{1}{3}\times263.1$.
$V_{cone}=87.7\ cm^{3}$

Answer:

A. $87.7\ cm^{3}$