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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

Raymond built a “rocket" made from a cylinder and a cone. He filled the rocket-example-1
User Dinh
by
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1 Answer

5 votes

Answer:

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.

User Alexander Borisov
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