A sport bottle is shaped like a cylinder with a height of 19 centimeters and a volume of 731.2 cubic centimeters. What is the diameter of the sports bottle?

Answer: the diameter of the sports bottle is 7 cm

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 731.2 cubic centimeters

Height = 19 centimeters

Therefore,

731.2 = 3.14 * r² * 19

731.2 = 59.66r²

Dividing the left hand side and the right hand side of the equation by 59.66, it becomes

r² = 731.2/59.66 = 12.26

r = √12.26

r = 3.5

Diameter = 2 * radius

Diameter = 2 * 3.5 = 7 cm