What are possible radius and corresponding height in centimeters,for inside of a cylinder that meets the constraints?

Question

The inside of the cylinder must hold from 475 to 480 centimeters of liquid

the diameter must be at least 8 centimeters and at most 10 centimeters

Answer 1

volume = PI * R^2 * H

volume is between 475 and 480

radius is half diameter so is between 4 and 5

Determine Height for minimum and maximum volumes, each for minimum and maximum radii.

475 = PI*4^2 H

H = 475/16PI = 9.45

475 = PI*5^2 H

H = 475/25PI = 6.05

480 = PI*4^2H

H = 480/16PI = 9.55

480 = PI*5^2H

H = 480/25PI = 6.11

Height is between 6.05 and 9.55

Answer 2

Height = V/pir²=475/16pi=480/16pi=475/25pi=480/25pi