Question

Find the height (h), If the volume of the cylinder is 150.72 m³, and the radius is 4 m. (Use 3.14 for π).

a) h= 3.0m
b) h= 6.0m
c) h= 9.0m
d) h= 12.0m

Answer 1

To find the height (h) of the cylinder, rearrange the formula for the volume of a cylinder. Using the given values, solve for h and find that it is approximately 2.99 m, rounding to 3.0 m.

Step-by-step explanation:

To find the height (h) of the cylinder, we can rearrange the formula for the volume of a cylinder. The formula for the volume is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the volume is given as 150.72 m³ and the radius is 4 m. Plug in these values to the formula:

150.72 = π * 4² * h

Simplify the equation:

150.72 = 16πh

Divide both sides of the equation by 16π:

h = 150.72/(16π)

Using 3.14 for π, we can calculate h as:

h ≈ 150.72/(16*3.14) ≈ 2.99 m

Since h is approximately 2.99 m, the correct option is a) h = 3.0 m.