Answer:
Step-by-step explanation:
Cylinder
Start by finding the volume of the cylinder as though the spheres were not there.
Volume of a cylinder = pi r^2 h
r = 6 inches
h = 25 inches. Put the givens in the formula
Volume = pi 6^2 * 25
Volume = pi * 36 * 25
Volume = 900 pi
One sphere
Don't try and find the volume of both spheres. Just do one and double it.
V = pi * (4/3) * r^3
r = 6 inches
V = pi * (4/3) * 6^3
V = pi * 288 Cubic inches
Two spheres
Total volume spheres = 2 * 288 pi
Total Volume of spheres = 576 pi
Volume of the shaded region.
The following will act as a formula for the answer to the question
V_shade = Volume of the cylinder - volume of the 2 spheres
Substitute values into formula
Volume shade = 900 * pi - 576* pi Take out common factor (pi)
Volume shade = pi * (900 - 576 )
Volume of the shaded area
Volumne shade = pi *324
pi = 3.14
Volume shade = 1017.36
