Question

Question #de479

Answer 1

Find the volume of the cylinder, then subtract the volume of the spheres.

Explanation:

Volume of Cylinder:
The cylinder will have a height equal to the sum of the diameters of the 4 spheres or h = 30 inches.

Volume of Cylinder `=pir^2h=pi(15/2)^2*30=1687.5pi` cubic inches

Volume of Spheres :
There are 3 spheres each with different radii. The formula for the volume of a single sphere is:

Volume of Sphere `=4/3pir^3`

Volume of all 3 spheres: `=4/3pi(4^3+5^3+6^3)=540pi` cubic inches

Water needed to submerge the spheres:

`=1687.5pi-540pi=1147.5` cubic inches of water