Question

Raymond built a “rocket" made from a cylinder and a cone. He filled the rocket

completely with water. What is the maximum number of gallons of water the rocket can
hold?
(231 in 3 = 1 gallon)
14in
16in
4in

Answer 1

Rocket can hold maximum 4.5 gallons of water.

Explanation:

Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom

Volume of the cone =
`(1)/(3)\pi r^(2)h`

Here r = radius of the circular base

h = height of the cone

Volume =
`(1)/(3)\pi (4)^(2)(14)`

=
`(224\pi )/(3)` cubic inch

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

Here r = radius of the base

h = height of the cylinder

Volume =
`\pi (4)^(2)(16)`

= 256π cubic inches

Volume of the rocket =
`(224\pi )/(3)+256\pi`

=
`(992\pi )/(3)`

= 1038.82 cubic inches

Since 231 cubic inches volume of a rocket can hold water = 1 gallon

Therefore, 1038.82 cubic inches space can hold water

=
`(1038.82)/(231)`

= 4.497

≈ 4.5 gallons

Rocket can hold 4.5 gallons of water.