The volume of a cylinder is 154cm3 and the height is 10cm find the radius
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.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given that the volume is 154 cm^3 and the height is 10 cm, we can rearrange the formula to solve for the radius:
154 cm^3 = π * radius^2 * 10 cm
Divide both sides of the equation by 10 cm:
15.4 cm^3 = π * radius^2
Now, divide both sides of the equation by π:
15.4 cm^3 / π = radius^2
To find the radius, take the square root of both sides of the equation:
√(15.4 cm^3 / π) = radius
Using a calculator, the approximate value of the radius is:
radius ≈ 2.78 cm.