Asphere and a cylinder have the same radius and height. the volume of the cylinder is 48 cm.
what is the volume of the sphere?

assuming the question is searching for the radius and height (and that the volume is given in cm cubed rather than squared), let's look at the equation for the volume of the cylinder.

v = π r2 h

where r is the radius and h is the height.

however, in the problem statement, we were told that the radius equals the height or

r = h

so, we can rewrite the above equation as

v = π r2*r = π r3

now we just have to solve for r

r3 = v/π

r = (v/π)1/3

r = (48/π)1/3=2.48 cm

so evidently both the radius and the height of the cylinder are 2.48 cm

answer:

step-by-step explanation: