Question

A cylinder has a height of 10 ft and a volume of 25,456 ft^3.The radius of the cylinder is approximately ___ feet.Round your answer to the nearest whole number.

Answer 1

$\begin{gathered} \text{The volume, V, of a cylinder is given by:} \\ V=\pi\times r^2\times h \\ \text{where 'r' is the radius and 'h' is the height.} \end{gathered}$

From the question given, they provided us with the height,h = 10ft, and volume, V=25,456 cubic feet.

Thus, we have:

$\begin{gathered} V=\pi\times r^2\times h \\ 25,456=\pi\times r^2\times10 \\ \frac{25,456}{10\pi}=r^2 \\ \text{Taking the value of }\pi\text{ as 3.142, we have:} \\ r^2=\frac{25,456}{10\times3.142} \\ r^2=810.1846 \\ r=\sqrt[]{810.1846} \\ r=28.46ft \end{gathered}$

Hence, the radius of the cylinder is 28.46ft