SOLUTION: how much more volume is there in a cube than in a cone with the same height of 10 inches, same width of 10 inches and same length of 10 inches?

Question 1081648: how much more volume is there in a cube than in a cone with the same height of 10 inches, same width of 10 inches and same length of 10 inches?
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The volume of a cube is . The volume of a cone is . Since the diameter of the base of the cone is the same as a side of the cube, the radius is one-half of the measure of a side.

Calculate the two volumes and subtract the volume of the cone from the volume of the cube.

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
What is the volume of a tank that's 20 inches, 10 inches in width, and 10 inches in... (answered by nerdybill)
In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10... (answered by rothauserc)
The volume of a cone is 36pi inches cubed. What is the volume of a cylinder with the same (answered by ikleyn)
A cylinder and the cone have the same diameter of 10 inches. The height of the cone is... (answered by josgarithmetic)
Find the volume of the largest cylinder that can be inscribed in a right circular cone of (answered by solver91311)
I need to calculate the volume of 10 cans in inches. their radius is 3 inches and height... (answered by stanbon)
The height of a box is 10 inches. The length is three inches more than the width. Find... (answered by TutorDelphia)
The height of a box is 10 inches. The length is 3 inches more than the width. Find the... (answered by fractalier)
What is the volume, in cubic inches, of a right circular cone with a diameter of 6 inches (answered by Alan3354)