A cylinder and sphere have the same radius and volume.the height of the cylinder is 12cm.what is the volume of the sphere rounde

Question

3 years ago

7

d to the nearest whole number?

1 answer:

Svetlanka [38] · Answer 1 · 2022-05-05T21:17:10+03:00

Answer:

3053.63cm

Step-by-step explanation:

quoted from adraimsp

"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"