The Expression 4/3r^3 Calculates The Volume Of A Sphere (Measured In Cubic Inches) When The Radius Of The Sphere Is Rr Inches. Suppose This Relationship Between The Volume And Radius Of A Sphere Is Given By The Function Hh Where: H(R)=4/3r^3 Create An Expression Using Function Notation (I.E. The Left Side Of The Definition Above) That Represents The Change

The expression 4/3r^3 calculates the volume of a sphere (measured in cubic inches) when the radius of the sphere is rr inches.

Suppose this relationship between the volume and radius of a sphere is given by the function hh where:

h(r)=4/3r^3

Create an expression using function notation (i.e. the left side of the definition above) that represents the change in sphere volume resulting from an increase in the sphere's radius from 4 inches to 5 inches.

How much does a sphere's volume increase when the radius increases from 6 inches to 10 inches? Represent this value as an expression using function notation, and find the value. (Hint: your answer will be in the form h(b)h(a)=kh(b)-h(a)=k.)