The number of square meters in the total surface area of a right circular cylinder, including the top and bottom, is equal to the number of cubic meters in its volume. If the radius of the cylinder is five times its height, what is its volume?
1 Answer
See a solution process below:
Explanation:
We know
The formula for the volume of a cylinder is:
We can substitute
The formula for the surface area of a cylinder is:
Again, we can substitute
Because the Area is equal to the volume we can equate the two and solve for
The we can calculate
We can substitute these back into the formula for the volume of a cylinder and calculate
Approximating