Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
-The radius of a right circular cone is given by the formula $r = \sqrt { \frac { 3 V } { \pi h } }$, where $V$ is the volume and $h$ is the height. If the volume is 552 cubic inches and the height is 13 inches, what is the radius? Use $3.14$ for $\pi$, and round your answer to the nearest tenth of an inch.
A) 0.2 in.
B) 6.4 in.
C) 3.7 in.
D) 6.7 in.

Question

Quizplus · Accepted Answer

To find the radius, substitute $V = 552$ and $h = 13$ into the formula $r = \sqrt { \frac { 3 V } { \pi h } }$. Using $3.14$ for $\pi$, the calculation is $r = \sqrt { \frac { 3 \times 552 } { 3.14 \times 13 } }$, which simplifies to approximately $6.4$ inches.

Rationalize the Denominator r=3Vπhr = \sqrt { \frac { 3 V } { \pi h } }r=πh3V​​

Rationalize the Denominator $r = \sqrt { \frac { 3 V } { \pi h } }$