Answer:
Cylinder on the left has 2 times the volume
Step-by-step explanation:
Volume of the cylinder on the left
V = pi * r^2 h
The radius is 1/2 the diameter, so
r = 2x/2 = x
r =x and h =x
Substituting in
V = pi * x^2 *x
V = pi x^3
Volume of the cylinder on the right
V = pi * r^2 h
The radius is 1/2 the diameter, so
r =x/2 and h =2x
Substituting in
V = pi * (x/2)^2 *2x
V = pi x^2/4 *2x
V= pi x^3 *1/2
V = 1/2 pi x^3
The volume of the cylinder on the right is 1/2 the volume of the cylinder on the left.
Cylinder on the left has 2 times the volume
