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 6 inches and the cone is 8 inches high. (Use 3.14 as an
Approximation forpproximation for $\pi$ , and round to the nearest tenth., and round to the nearest tenth.)
A)2713.0 cubic in.
B)37.7 cubic in.
C)50.2 cubic in.
D)301.4 cubic in.

Question

Quizplus · Accepted Answer

The formula for the volume of a cone is $V = \frac{1}{3}\pi r^2 h$. Substituting $r = 6$ inches, $h = 8$ inches, and $\pi = 3.14$, we get $V = \frac{1}{3} \times 3.14 \times 6^2 \times 8$, which calculates to approximately 301.4 cubic inches.

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

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