Answer:
To find the radius of the cylinder, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * radius^2 * height.
In this case, we are given that the volume is 5070π cubic centimeters and the height is 30 centimeters. Plugging in these values into the formula, we get:
5070π = π * radius^2 * 30.
Canceling out the π on both sides of the equation, we have:
5070 = radius^2 * 30.
To isolate the radius, divide both sides of the equation by 30:
5070/30 = radius^2.
Simplifying the left side of the equation:
169 = radius^2.
To find the radius, take the square root of both sides of the equation:
√169 = √(radius^2).
This gives us:
13 = radius.
Therefore, the radius of the cylinder is 13 centimeters.
