Question

Lydia purchased 10 cylinders of water for her pet Fido. Each cylinder 12 inches tall and had a diameter of 18inches. How many cubic inches of water did Lydia purchase ffor Fido

Answer 1

30548.57 cubic inches of water

Explanation:

Given:

Lydia purchased 10 cylinders of water for her pet Fido.

Each cylinder 12 inches tall and had a diameter of 18 inches.

Question asked:

How many cubic inches of water did Lydia purchase for Fido ?

Solution:

To find cubic inches of water Lydia purchased, first of all we will have to find the volume of each cylinder and then multiply by 10:-

Diameter of cylinder = 18 inches

Radius, r =
`(diameter)/(2) =(18)/(2) =9\ inches`

Height of each cylinder, h = 12 inches

As we know:

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

`=(22)/(7) *9*9*12\\ \\ =(21384)/(7) =3054.857\ cubic\ inches`

Volume of 10 cylinders = 3054.857
`*` 10 = 30548.57 cubic inches.

Thus, Lydia purchased 30548.57 cubic inches of water for Fido.