The volume of a cylinder is 980pi in.3 The height of the cylinder is 20 in. What is the radius of the cylinder?
(1 point)
Responses
7 in
7 in
49 in
49 in
327 in
327 in
18 in
To find the radius of the cylinder, we can use the formula for the volume of a cylinder which is given as:
Volume = π * r^2 * h
Given that the volume is 980π in^3 and the height is 20 in, we can plug these values into the formula and solve for the radius:
980π = π * r^2 * 20
Cancel out the π from both sides:
980 = r^2 * 20
Divide both sides by 20:
49 = r^2
Taking the square root of both sides, we find:
r = √49
Therefore, the radius of the cylinder is 7 in.
The correct answer is 7 in.