A sphere and a right cylinder have the same radius and height. The cylinder has a volume of 6 centimeters. find the volume of the sypherical candle

Answer 1

The volume of a right cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

Since the sphere and the right cylinder have the same radius and height, the volume of the sphere is given by the formula V = (4/3)πr^3.

Given that the volume of the cylinder is 6 cm^3, we have:

6 = πr^2h

Since the sphere and the cylinder have the same radius and height, we can set up an equation as follows:

V_sphere = (4/3)πr^3 = πr^2h

V_sphere = (4/3)6

V_sphere = 8 cm^3

Therefore, the volume of the spherical candle is 8 cm^3.