The volume of a cylinder is 154cm3 and the height is 10cm find the radius

1 answer

The volume of a cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. We are given that the volume V = 154 cm^3 and the height h = 10 cm.

Substituting these values into the formula, we get:

154 = πr^2 * 10

Dividing both sides of the equation by 10, we get:

15.4 = πr^2

Dividing both sides of the equation by π, we get:

4.9 ≈ r^2

Taking the square root of both sides of the equation, we get:

r ≈ √4.9

r ≈ 2.21

Therefore, the radius of the cylinder is approximately 2.21 cm.