Question

Bailey draws a circle on a large piece of paper. Then she cuts out the circle, cuts along the radius of the circle, and tapes the sides together to form a cone. The formula V = 13πr2h gives the volume, V, of the cone with radius, r, and height, h. Bailey knows the volume and radius of her cone, and she wants to determine the height. Which equation shows the formula solved for h?

Answer 1

Answer:

The required equation shows the formula solved for h is  $h=\frac{3V}{\pi r^2}$

Step-by-step explanation:

Consider the provided information.

The formula of volume of cone is: $V=\frac{1}{3}\pi r^2h$

Where V, is the volume of the cone with radius, r, and height, h.

Bailey knows the volume and radius of her cone, and she wants to determine the height.

In order to find the height of the cone Bailey need to solve the equation for h.

$V=\frac{1}{3}\pi r^2h$

Multiply both the sides by 3.

$3V=\pi r^2h$

Divide both the sides by πr².

$\frac{3V}{\pi r^2}=h$

$h=\frac{3V}{\pi r^2}$

Hence, the required equation shows the formula solved for h is  $h=\frac{3V}{\pi r^2}$