SOLUTION: A sphere of diameter 10 cm is carved of a wooden block in the shape of a cube of side 10 cm what percentage of the wood is wasted

Question 1058833: A sphere of diameter 10 cm is carved of a wooden block in the shape of a cube of side 10 cm what percentage of the wood is wasted

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
volume of a cube of 10 cm persides is equal to 10^2 = 1000 cubic cm.

volume of a sphere with radius = 10/2 = 5 would be 4/3 * pi * 5^3 = 523.5987756 cubic cm.

amount of wood wasted would be 10 - 523.5987756 = 476.4012244 cubic cm.

percent of wood wasted would be 476.4012244 / 1000 * 100 = 47.64012244 percent.

round as required.

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)

A wooden cube with a volume of 45cm3 is carved into the largest sphere and cylinder... (answered by Fombitz)

what is the density in g/cm cube of a block of wood with a mass of 849g and a volume of... (answered by Alan3354)

A rectangular block of wood has following dimensions : 10.0 cm x 5.00 cm x 4.00 cm. The... (answered by Earlsdon)

a hole is bored through a rectangular block of wood 30 cm long, 15 cm wide and 20 cm... (answered by solver91311)

What is the volume of a block of wood that is 10 cm long, 15 cm tall, and 3 cm... (answered by checkley77,Mariah24)

what is the volume of the biggest possible sphere that can be made out of a wooden cube... (answered by Gogonati)

Wood is removed from a wooden right circular cylinder of diameter 10cm and height 15 cm... (answered by addingup)