SOLUTION: A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius.

Question 683328: A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Subtract the volume of a sphere with radius 7.5 from the volume of a cube with edge 15.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius.
---------------
The largest diameter = side length = 15 cm
r = 7.5 cm
Vol of cube = 15^3 cc
Vol of sphere = cc
Wood removed is the difference

RELATED QUESTIONS
A wooden cube with a volume of 45cm^3 is carved into the largest sphere poSsible,what is... (answered by Alan3354)
A wooden cube with a volume of 45cm3 is carved into the largest sphere possible. What is... (answered by ankor@dixie-net.com)
wooden cubes of sides 2 cm is cut out of a large wooden cube with sides of 50 cm . how... (answered by Alan3354)
An open wooden box is a cube with side x cm. The box, including its bottom, is made of... (answered by stanbon)
Please help me with this question, An open wooden box is a cube with side x cm. The box (answered by Alan3354)
what is the volume of the biggest possible sphere that can be made out of a wooden cube... (answered by Alan3354)
what is the volume of the biggest possible sphere that can be made out of a wooden cube... (answered by Gogonati)
A rectangular block of wood has dimension 24 cm by 9 CM by 7 cm. it is cut up into... (answered by CubeyThePenguin)
What is the surface area of the greatest wooden right cylinder that can be carved out of... (answered by josgarithmetic)