SOLUTION: a metal sphere with a radius of 3 cm is melted down and formed into a cylinder with a radius of 2 cm. Calculate the height of the cylinder. The metal cylinder is then melted down a

Question 889516: a metal sphere with a radius of 3 cm is melted down and formed into a cylinder with a radius of 2 cm. Calculate the height of the cylinder. The metal cylinder is then melted down and formed into a cone with a radius of 1 cm. Calculate the height of the cone.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You are asking two related questions, but I will help with the second one.

Volume of a cone, .
Volume of sphere, .

The volumes of the cone and sphere will be equal. Just fill what is known and solve for what is unknown, one variable, the height of the cone.

Multiply by 3, divide by pi, BOTH SIDES

RELATED QUESTIONS
A metal sphere of radius 15 centimeters is melted down and recast into a solid cylinder... (answered by Jc0110)

A solid metal cylinder of height 1.2 metres and diameter 0.8 metres is melted down and... (answered by josgarithmetic)

Hi a solid metal sphere of radius 21cm is melted and recast into 2 cylinders each with (answered by josgarithmetic)

Suppose you have 2000cm^2 of material to create a 3D figure with the greatest volume. The (answered by Alan3354)

a metal sphere is melted and recast into a hollow spherical shell whose outer radius is... (answered by josgarithmetic)

The larger sphere is of radius 8cm and is a metal. It is melted down and made into... (answered by ewatrrr,Alan3354)

A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of (answered by Alan3354)

The radius of a metallic cylinder is 3 cm and its height is 5 cm. It is melted and... (answered by mananth)

A solid metal cylinder of radius 6 cm and height 18 cm is melted down and recast as a... (answered by ankor@dixie-net.com)