Solve the problem.
-For a cone, the formula $r = \sqrt { \frac { 3 V } { \pi h } }$ describes the relationship between the radius $r$ of the base, the volume $V$, and the height h. Find the volume if the radius is 8 inches and the cone is 6 inches high. (Use $3.14$ as an approximation for $\pi$, and round to the nearest tenth.)
A) $401.9$ cubic in.
B) $50.2$ cubic in.
C) $3617.3$ cubic in.
D) $67.0$ 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 $r = 8$ inches, $h = 6$ inches, and $\pi \approx 3.14$, we get $V = \frac{1}{3} \times 3.14 \times 8^2 \times 6 \approx 401.9$ cubic inches.

Solve the Problem r=3Vπhr = \sqrt { \frac { 3 V } { \pi h } }r=πh3V​​

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