A solid metal cylinder with a length of 24cm and radius of 2cm is melted down to form a sphere. What is the radius of the sphere

Answer 1

To find the radius of the sphere, we first need to calculate the volume of the metal cylinder.

Volume of cylinder = πr^2h
Volume = π(2cm)^2(24cm)
Volume = 96π cm^3

Since the metal is melted down to form a sphere, the volume of the sphere will be equal to the volume of the cylinder.

Volume of sphere = 4/3 πr^3
r^3 = (3*96π)/(4π)
r^3 = 72
r = ∛72
r ≈ 4.16 cm

Therefore, the radius of the sphere formed from the metal cylinder is approximately 4.16 cm.