Question

There are many cylinders with a height of 9 inches. Let R represent the radius in inches and V represent the volume in cubic inches.

R V
1
2
3
Complete the table relating the radius and volume of cylinders with height 9 inches. Write each volume as a multiple of pi or round to the nearest cubic inch.
Is there a linear relationship between the radius and the volume of these cylinders? Explain how you know.
If a cylinder with height 9 inches and radius (R) s filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill? Explain how you know.

Answer 1

R V

1 9π in³

2 36π in³

3 81π in³

Explanation:

For, r = 1

V = π(1)²9 = 9π in³

For, r = 2

V = π(2)²9 = 4*9π in³ = 36π in³

For r = 3

V = π(3)²9 = 9*9π in³ = 81π in

R V

1 9π in³

2 36π in³

3 81π in³