Question

Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value of r.

Answer 1

r = 7.33 units

Explanation:

Given that,

A cylinder has a radius of r units, and that the height of the cylinder is also r units.

The lateral area of the cylinder is 338 square units.

We need to find the value of r.

The formula for the lateral area of the cylinder is given by :

`A=2\pi rh`

Put all the values,

`2\pi r^2=338\\\\r=\sqrt{(338)/(2\pi)} \\\\r=7.33\ unit`

So, the value of r is equal to 7.33 units.