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* r^2* 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* r^2* h \\ 25,456=\pi* r^2*10 \\ (25,456)/(10\pi)=r^2 \\ \text{Taking the value of }\pi\text{ as 3.142, we have:} \\ r^2=(25,456)/(10*3.142) \\ r^2=810.1846 \\ r=\sqrt[]{810.1846} \\ r=28.46ft \end{gathered}`

Hence, the radius of the cylinder is 28.46ft