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 = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base
h = height of the cone
Volume = [tex]\frac{1}{3}\pi (4)^{2}(14)[/tex]
= [tex]\frac{224\pi }{3}[/tex] cubic inch
Volume of the cylinder = [tex]\pi r^{2}h[/tex]
Here r = radius of the base
h = height of the cylinder
Volume = [tex]\pi (4)^{2}(16)[/tex]
= 256π cubic inches
Volume of the rocket = [tex]\frac{224\pi }{3}+256\pi[/tex]
= [tex]\frac{992\pi }{3}[/tex]
= 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
= [tex]\frac{1038.82}{231}[/tex]
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.
