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
