The volume of a cylinder is 980 in.. The height of the cylinder is 20 in. What is the radius of the cylinder?

Express your answer to the nearest hundredth.

V=πr2h

Solve for r.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder. The formula is:

V = π * r^2 * h

where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

In this case, the volume of the cylinder is given as 980 in^3, and the height is given as 20 in. We need to solve for the radius, so let's rearrange the formula to isolate the radius.

Start with the formula: V = π * r^2 * h.

Divide both sides of the equation by (π * h) to isolate r:

V / (π * h) = r^2.

Now let's substitute the given values into the formula:

980 in^3 / (3.14 * 20 in) = r^2.

Simplify the expression:

49.267 in^2 ≈ r^2.

To find r, we take the square root of both sides of the equation:

√(49.267 in^2) ≈ √(r^2).

r ≈ 7 in.

Therefore, the radius of the cylinder is approximately 7 inches.

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

V = π * r^2 * h

Where:
V = Volume
π = Pi (approximately 3.14)
r = radius
h = height

Given:
V = 980 in^3
h = 20 in

Let's rearrange the formula to solve for the radius (r):

r^2 = V / (π * h)

Substituting the given values:

r^2 = 980 / (3.14 * 20)

r^2 ≈ 15.59

Taking the square root of both sides:

r ≈ √15.59

r ≈ 3.95

Therefore, the radius of the cylinder is approximately 3.95 inches when rounded to the nearest hundredth.