SOLUTION: Daniel buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 10 inches. Daniel decides to cut the block of clay into two pieces. He places a

Algebra ->  Volume -> SOLUTION: Daniel buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 10 inches. Daniel decides to cut the block of clay into two pieces. He places a      Log On


   

Question 952342: Daniel buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 10 inches. Daniel decides to cut the block of clay into two pieces. He places a wire across the diagonal of one face of the cube, as shown in the figure. Then he pulls the wire straight back to create tow congruent chunks of clay.Daniel wants to reshape the other chunk of clay to make a set of clay spheres. He wants each sphere to have a diameter of 4 inches. Find the maximum number of spheres that Daniel can make from the chunk of clay.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
10^3=1000 in^3
1000/2=500 vol of one congruent chunk.
4/3 * pi * r^3 = vol of a sphere
500/(4/3 * pi * 2^3)
=14.92...
14 the maximum number of spheres that Daniel can make from the chunk of clay.
.
Ed