Question

A company wants to installan underground storage tank that is in the shape of acylinder with both ends being in the shape of a hemisphere. The tank will have anoutside diameter of 20 feet and a total length of 50 feet (that is from the tip of one end ofthe hemisphere shape to the tip of the other hemisphere shape)lf the walls of the tankare 3 inches thick, what is the volume of the tank in cubic feet and how many gallons ofliquid can be contained in the tank (1 cubic foot 7.48 gallons)?

Answer 1

Wallsare 3 inches thick
diameter is 20 feet, find real diametter
legnth is 50 feet, find real legnth

minus 6 inches from each measurement since that is not included

20ft-6in=19.5ft
50ft-6n=49.5ft

we have a cylinder and a 2 hemispheres
2 hemispheres=1 sphere

Vcylinder=hpir^2
Vsphere=(4/3)pir^3

r=d/2
r=19.5/2=9.75
h=49.5

Vcylinder=49.5*pi*9.75^2=14783.058738886 ft^3
Vspere=(4/3)pi9.75^3=388419466778 ft^3
add them
Vcylinder+Vspher=14783.058738886+388419466778 ft^3=18665,478205664ft^3


V=18665,478205664 ft^3
times 7.48 to find gallons
Vingallons=139617.77697837 gallons