Question

A company is designing a new cylindrical water bottle. The volume of the bottle will be 121 cmcubed. The height of the water bottle is 7.6 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answer 1

The radius of the water bottle is 2.25 cm

Explanation:

The water bottle is said to be cylindrical, so its volume can be expressed as the volume of a cylinder.

Volume of a cylinder V = πr^2 h

Where;

h = height

r = radius

Making the radius the subject of formula;

r^2 = V/πh

r = √(V/πh)

Given:

Volume V = 121 cm^3

height h = 7.6 cm

π = 3.14

Substituting the given values;

r = √(121/(3.14×7.6))

r = 2.25 cm

The radius of the water bottle is 2.25 cm