Question

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

Answer 1

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.