If the height of the code is 20 yards and the volume is 3014.4 what is the radius

3 answers

To find the radius, we need to use the formula for the volume of a cylinder, which is:

Volume = π * r^2 * h

Where π is a constant approximately equal to 3.14159, r is the radius, and h is the height.

Given that the volume is 3014.4 and the height is 20 yards, we can rearrange the formula to solve for the radius:

3014.4 = π * r^2 * 20

Divide both sides of the equation by (π * 20):

r^2 = 3014.4 / (π * 20)

r^2 ≈ 48.06625

Take the square root of both sides to find the radius:

r ≈ √48.06625

r ≈ 6.9338

Therefore, the radius of the cylinder is approximately 6.9338 yards.
for a cone
To find the radius of a cone, we need to use the formula for the volume of a cone, which is:

Volume = (π * r^2 * h) / 3

Where π is a constant approximately equal to 3.14159, r is the radius, and h is the height.

Given that the volume is 3014.4 and the height is 20 yards, we can rearrange the formula to solve for the radius:

3014.4 = (π * r^2 * 20) / 3

Multiply both sides of the equation by 3:

9043.2 = π * r^2 * 20

Divide both sides of the equation by (π * 20):

r^2 = 9043.2 / (π * 20)

r^2 ≈ 144.23079

Take the square root of both sides to find the radius:

r ≈ √144.23079

r ≈ 12.008

Therefore, the radius of the cone is approximately 12.008 yards.