Solve the problem.
-For a cone, the formula $\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }$ describes the relationship between the radius $\mathrm { r }$ of the base, the volume $V$, and the height $\mathrm { h }$. Find the volume if the radius is 3 inches and the cone is 4 inches high. (Use $3.14$ as an approximation for $\pi$, and round to the nearest tenth.)
A) $37.7$ cubic in.
B) $9.4$ cubic in.
C) $12.6$ cubic in.
D) $339.1$ cubic in.

Question

Quizplus · Accepted Answer

The volume $V$ of a cone can be found using the formula $V = \frac{1}{3}\pi r^2 h$. Substituting $r = 3$ inches, $h = 4$ inches, and $\pi \approx 3.14$, we get $V \approx \frac{1}{3} \times 3.14 \times 3^2 \times 4 = 37.68$ cubic inches, which rounds to $37.7$ cubic inches.

Solve the Problem r=3 Vπh\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }r=πh3 V​​

Solve the Problem $\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }$