Question

 The volume of a cylinder is 289pi in.cubed and the height of the cylinder is 1 in. What is the radius of the​ cylinder?

Answer 1

The radius of the cylinder is 17 inches.

Step-by-step explanation:

Given,

Volume of cylinder = V = 289π  in cubed

Height of cylinder = h = 1 in

Radius of cylinder = r

We know that;

Volume of cylinder = πr²h

Putting values;

$289\pi =\pi r^2(1)$

Dividing both sides by π (pi)

$\frac{289\pi }{\pi }=\frac{\pi r^2}{\pi }$

$289=r^2\\r^2=289$

Taking square root on both sides

$\sqrt{r^2} =\sqrt{289} \\r=17\ in.$

The radius of the cylinder is 17 inches.

Keywords: volume, radius

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