Question

URGENT NEED OF HELP WORTH 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the

diameter of the barrel was. She needs to know the diameter so that she can build a platform for it to sit
on. The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in. What is the
diameter of the barrel? Round only your final answer to the nearest inch.

Answer 1

The diameter of the barrel is 27 inches.

Explanation:

The formula for the volume of a cylinder is given by:

V = πr^2h

Where r is the radius of the cylinder, and h is the height.

We are given that the volume is 6,925π cubic inches, and the height is 38 inches, so we can substitute these values into the formula and solve for the radius:

6925π = πr^2 * 38

Dividing both sides by π and 38, we get:

6925 = r^2 * 38

Dividing both sides by 38, we get:

183 = r^2

Taking the square root of both sides, we get:

r = sqrt(183) = 13.5 in.

So the radius of the cylinder is 13.5 inches. To find the diameter, we multiply the radius by 2:

diameter = 2 * r = 2 * 13.5 = 27 in.

Rounding to the nearest inch, the diameter of the barrel is 27 inches.