A company is designing a new cylindrical water bottle. The volume of the bottle will be 109 cmcubed. The height of the water bottle is 7.2 cm. What is the radius of the water bottle? Use 3.14 for pi.
To find the radius of the cylindrical water bottle, we first need to use the formula for the volume of a cylinder:
V = πr^2h
Where:
V = volume of the cylinder (109 cm^3)
r = radius of the cylinder (unknown)
h = height of the cylinder (7.2 cm)
π = 3.14
Plugging in the values we know:
109 = 3.14 * r^2 * 7.2
Divide both sides by (3.14 * 7.2) to isolate r^2:
r^2 = 109 / (3.14 * 7.2)
r^2 = 5
Take the square root of both sides to find the radius:
r = √5
r ≈ 2.24 cm
Therefore, the radius of the water bottle is approximately 2.24 cm.