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yawa3891 [41]
2 years ago
12

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

Mathematics
1 answer:
lianna [129]2 years ago
7 0

Answer:

Rocket can hold maximum 4.5 gallons of water.

Step-by-step explanation:

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

Volume of the cone = \frac{1}{3}\pi r^{2}h

Here r = radius of the circular base

h = height of the cone

Volume = \frac{1}{3}\pi (4)^{2}(14)

             = \frac{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 = \frac{224\pi }{3}+256\pi

                                   = \frac{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

= \frac{1038.82}{231}

= 4.497

≈ 4.5 gallons

Rocket can hold 4.5 gallons of water.

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Answer:

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Given:

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