A cylindrical can of volume 396cm has a height of 14cm.find the radius of the cylinder

1 answer

To find the radius of the cylinder, we can rearrange the formula for the volume of a cylinder:

volume = π * radius^2 * height

Given that the volume is 396 cm^3 and the height is 14 cm, we can plug these values into the formula and solve for the radius.

396 = π * radius^2 * 14

Dividing both sides of the equation by (π * 14):

396 / (π * 14) = radius^2

Dividing both sides of the equation by 14:

28.2857 / π = radius^2

Taking the square root of both sides:

√(28.2857 / π) = radius

Calculating this using a calculator:

radius ≈ 3.0 cm

Therefore, the radius of the cylinder is approximately 3.0 cm.