A cylindrical can of volume 396cm has a height of 14cm.find the radius of the cylinder
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.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Given that the volume V is 396 cm^3 and the height h is 14 cm, we can rearrange the formula to solve for the radius r:
r^2 = V / (π * h)
Let's substitute the known values into the formula and solve for the radius:
r^2 = 396 cm^3 / (π * 14 cm)
r^2 = 9 cm^2
To find the radius, we can take the square root of both sides:
r = √(9 cm^2)
r = 3 cm
Therefore, the radius of the cylindrical can is 3 cm.