To find: function rule for the volume of the cylinder shown in the question with a height 3 inches more than 4 times the radius of the cylinder’s base. Also, to find volume of the cylinder when it has radius of 2 inches.

Answer to Problem 20PPE
Volume of the cylinder when it has radius of 2 inches is equal to
Explanation of Solution
Given information: Height of a cylinder is 3 inches more than 4 times the radius of the cylinder’s base. Volume of the cylinder is
Calculation:
First find the relation between radius
According to the question,
Height of a cylinder is 3 inches more than 4 times the radius of the cylinder’s base.
So,
Height of a cylinder
Now find the volume of the cylinder using equation (i)
Volume of the cylinder
Put
So, the function rule for the volume of the cylinder is
Now find volume of the cylinder when it has radius of 2 inches.
Put
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