Question

Find the surface area of a cylinder that has a radius of 9 cm and a height of 15 cm?.

Answer 1

EXPLANATION

Let's see the facts:

Radius = r = 9cm

Height = h = 15cm

The formula of the surface of the cylinder is:

`\text{Surface}_(cylinder)=2\pi r^2+2\cdot\pi\cdot r\cdot h`

Replacing terms:

`\text{Surface}=2\cdot\pi\cdot(9^2)+2\cdot\pi\cdot9\cdot15`

Computing the power:

`\text{Surface}=2\cdot\pi\cdot81+2\cdot\pi\cdot9\cdot15`

Multiplying numbers:

`\text{Surface}=162\cdot\pi+270\cdot\pi`

Simplifying:

`\text{Area}=432\cdot\pi=1357.16cm^2`