A cylinder has a volume of 375 cubic centimeters. The radius of the cylinder is 12.5 centimeters. What is the approximate height of the cylinder? Use 3.14 for π π. A. 9.6 centimeters B. 7.5 centimeters C. 2.4 centimeters D. 0.8 centimeter
What is 375/(12.5^2 π) ??
To find the height of the cylinder, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.
In this case, the volume of the cylinder is given as 375 cubic centimeters, and the radius is given as 12.5 centimeters. We need to solve for the height.
Substituting the given values into the formula, we get:
375 = 3.14 × 12.5² × h
To find h, divide both sides of the equation by (3.14 × 12.5²):
h = 375 ÷ (3.14 × 12.5²)
h ≈ 375 ÷ (3.14 × 156.25)
h ≈ 375 ÷ 490.625
h ≈ 0.764
Therefore, the approximate height of the cylinder is 0.764 centimeter.
Among the given options, none of them match the approximate height calculated, so none of the options A, B, C, or D are correct.