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 98 v square units.

Find the value of r. type your answer.....
units
Find the surface area of the cylinder to the nearest tenth. type your answer....
units

Answer 1

r = 4.0 units

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 98 square units.

We need to find the value of r.

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

`\text{A}=2\pi \text{rh}`

Put all the values,

`2\pi \text{rh}=98`

`\text{r}=\sqrt{(98)/(2\pi) }`

`\text{r}=4.0 \ \text{units}`

So, the value of r is equal to 4.0 units.