Question

Find the circumference of great circle of sphere whose volume is 36πcm^3​

Answer 1

The formula for the volume of a sphere is:

V = (4/3)πr^3

where V is the volume and r is the radius of the sphere.

We are given that the volume of the sphere is 36π cm^3, so we can write:

36π = (4/3)πr^3

Simplifying:

r^3 = (36/4) * 3

r^3 = 27

r = 3

Therefore, the radius of the sphere is 3 cm.

The circumference of a great circle on a sphere is given by the formula:

C = 2πr

where r is the radius of the sphere.

So, the circumference of the great circle is:

C = 2π(3) = 6π

Therefore, the circumference of the great circle of the sphere is 6π cm.