Question

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give your answer in terms of pi.

Answer 1

504 i took the test

Explanation:

Answer 2

The amount of water in the cylinder in term of π is: 504 π.

Explanation:

Volume of cylinder (
`V_(1)`) = π
`r^(2)h`

where, r= radius of cylinder

h= height of cylinder

so,
`V_(1)`= π×
`6^(2)`×15

= π×540

=540 π

Now, volume of ball (
`V_(2)`) =
`(4)/(3)` × π ×
`r^(3)`

=
`(4)/(3)` × π ×
`3^(3)`

= 36π

Amount of water in the tank=
`V_(1)` -
`V_(2)`

=540 π- 36π

=504 π