Question

A punch bowl is in the shape of a cylinder he height of the Punch bowl is 10 inches and the diameter of the Punch bowl is 14 inches. What is the volume of punch you need to fill the punch bowl 1 inch from the top.

Answer 1

The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³

Explanation:

Total Height of the punch bowl = 10 inches

Diameter of the bowl = d = 14 inches

Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.

The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:

`Volume=\pi r^(2) h`

Here, h represents the height.

We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:

`Volume =\pi (7)^(2) * 9\\\\ Volume =441\pi \\\\ Volume = 1385.44`

This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³