Question

Two spheres are cut from a certain uniform rock.One has radius 4.50 cm.The mass of the other is five times greater. Find its radius.

Answer 1

Since the rock is of uniform density, the ratio of the masses is the same as the ratio of the volumes.

V = 4/3 pi r^3

So, 5 * 4/3 pi r^3 = 4/3 pi * 5 r^3 = 4/3 pi * (cbrt(5)*r)^3

So, the new radius is cube root 5 times the old one.

Answer 2

the Answer is not 4/3pi times the cubed root of 5 times the r^3...it is just cubed root 5 times the radius of 4.5