A company is designing a new cylindrical water bottle. The volume of the bottle will be 179 cmcubed. The height of the water bottle is 7.7 cm. What is the radius of the water bottle? Use 3.14 for pi.

The radius of the water bottle is 2.72cm

Step-by-step explanation:

In this question, we are concerned with calculating what the radius of the cylindrical water bottle is given its volume and height.

Mathematically, the volume of a cylinder is V = pi * r^2 * h

From the question, we know that V = 179 cm^3., h = 7.7cm while r = ?

we substitute these values into the volume equation.

179 = pi * r^2 * 7.7

179 = 3.14 * r^2 * 7.7

179 = 24.178 * r^2

r^2 = 179/24.178

r^2 = 7.403

r = square root 7.403

r = 2.72 cm