Answer:
3054
Step-by-step explanation:
The formula for cylinder volume is
V1 = π * r^2 *h
while formula for sphere volume is
V2= 4/3 * π * r^3
Since the height of the cylinder is 12, we can substitute h the equation into
V1 = π * r^2 *12
The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.
V1= V2
π * r^2 *12 = 4/3 * π * r^3
12 = 4/3 * r
r= 12*3/4
r=9
After we find the radius, we can find the sphere volume
V2= 4/3 * π * r^3
V2= 4/3 * π * 9^3
V2= 3053.62 = 3054
