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.

Respuesta :

Answer:

R V

1 Ā 9Ļ€ in³ 

2 Ā 36Ļ€ in³

3 Ā 81Ļ€ in³

Step-by-step explanation:

For, r = 1

V = Ļ€(1)²9 = 9Ļ€ in³

For, r = 2

V = Ļ€(2)²9 = 4*9Ļ€ in³ = 36Ļ€ in³

For r = 3

V = Ļ€(3)²9 = 9*9Ļ€ in³ = 81Ļ€ in

R V

1 Ā 9Ļ€ in³ 

2 Ā 36Ļ€ in³

3 Ā 81Ļ€ in³