Use 3.14 as pi. Use the formula V= pix radius squared x height.
the volume of a cylinder is 121xpi cubic metres and its height is 4 metres. What is the radius?
We have the formula for the volume of a cylinder as V = pi * r^2 * h, where V is the volume, pi is the value 3.14, r is the radius, and h is the height.
We are given that the volume of the cylinder is 121 * pi cubic meters and the height is 4 meters.
Substituting these values into the formula, we can solve for the radius:
121 * pi = 3.14 * r^2 * 4
To find the radius, isolate it on one side of the equation. Divide both sides of the equation by (3.14 * 4):
(121 * pi) / (3.14 * 4) = r^2
r^2 = (121 * pi) / (3.14 * 4)
Now, we can find the square root of both sides to solve for the radius:
√((121 * pi) / (3.14 * 4)) = r
The radius of the cylinder is approximately equal to the square root of ((121 * pi) / (3.14 * 4)).
We can rearrange the formula to solve for radius:
V = pi x radius^2 x height
121 x pi = pi x radius^2 x 4
Simplifying:
121 = radius^2 x 4
radius^2 = 121/4
radius = sqrt(121/4)
radius = 11/2
Therefore, the radius of the cylinder is 11/2 meters.