Question

A hard candy has a radius of 9 mm. The candy has a spherical soft center with a radius of 6 mm, with a hard shell surrounding it.

What is the volume of the hard shell?
Use 3.14 to approximate pi and express your final answer in hundredths.

mm3

Answer 1

Well you have to subtract the soft shell volume from the entire candy volume. Using the formula for the volume of a sphere, the whole candy is 4/3*729*3.14=3052.08
the soft center is 4/3*216*3.14= 904.32. If you subtract, you get the answer of 2147.76 mm^3.