Question

A metallic cylinder with volume 904 cm³ is melted and then formed a sphere. Find the radius of the sphere.​

Answer 1

Answer:

Step-by-step explanation:

Volume of metallic cylinder = Volume of sphere created (equation 1), because no metal is lost.

Volume of sphere = 4/3 $\pi$ (radius^3)

Volume of cylinder = 904 cm^3

Substituting these values in (equation 1), we get -

4/3 $\pi$ (radius^3) = 904 cm^3

radius^3 = (904x3)/(4 $\pi$) = 216

radius = cube root of 216 = 6