Question

find the volume and surface area of a tube that has the shape of a cylinder with a radius 4 feet and height 18 feet round your answer to two Decimal places surface area _______square feetVolume_____ cubic feet

Answer 1

Given the cylindrical tube with;

radius r = 4 feet

height h = 18 feet

a.

To calculate the surface area S, let us apply the formula;

$\begin{gathered} S=2\pi rh \\ \text{substituting the values, we have;} \\ S=2\pi\times4\times18 \\ S=452.3893 \\ S=452.39\text{ square feet} \end{gathered}$

Therefore, the surface area is 452.39 square feet

b.

To calculate the Volume V, let us apply the formula for volume of a cylinder;

$\begin{gathered} V=\pi r^2h \\ \text{Substituting the values, we have;} \\ V=\pi\times4^2\times18 \\ V=\pi\times16\times18 \\ V=904.77868 \\ V=904.78\text{ cubic feet} \end{gathered}$

Therefore, the Volume is 904.78 cubic feet