Factor out the requested common factor.
-The radius required for a cone to have a volume $\mathrm { V }$ and a height $\mathrm { h }$ is given by the equation
$$\mathrm { r } = \left( \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } \right) ^ { 1 / 2 }$$
Find the necessary radius to have a cone with the $\mathrm { V } = 1256$ cubic inches and $h = 3$ inches. Use $\pi \approx 3.14$ and round the nearest whole number.

Question

Quizplus · Accepted Answer

Substitute $V = 1256$ and $h = 3$ into the formula: $r = \left( \frac{3 \times 1256}{3.14 \times 3} \right)^{1/2}$. Simplifying gives $r \approx 20$ inches.

Factor Out the Requested Common Factor V\mathrm { V }V And a Height

Factor Out the Requested Common Factor $\mathrm { V }$ And a Height