Question

If a cylinder has a volume of 1884 cubic centimeters and a height of six cm, explain how to find the radius of the

Answer 1

Answer:

10 cm

Step-by-step explanation:

The volume of the cylinder is 1884 cubic centimetres and its height is 6 cm.

The volume of a cylinder is given as:

$V = \pi r^2 h$

where r = radius

h = height

To find the radius of the base of the cylinder, we make r the subject of the formula and solve it:

$V = \pi r^2 h$

Divide both sides by πh:

$\frac{V}{\pi h} = \frac{\pi r^2h}{\pi h} \\\\=> \frac{V}{\pi h} = r^2$

Find the square root of both sides:

$\sqrt{\frac{V}{\pi h}} = \sqrt{r^2} \\\\=> r = \sqrt{\frac{V}{\pi h}}$

Let us find the value of r:

$r = \sqrt{\frac{1884}{\pi * 6}}\\\\r = \sqrt{99.9493}$

=> r = 9.9975 cm ≅ 10 cm