The volume of the right circular cylinder is 29, 673 inches with a small three on top. Find the diameter of the cylinder at the height is 42CM use 3.1 44tt would it be 15 inches 10 inches 30 inches or 5 inches.
First, let's find the radius of the cylinder at a height of 42cm.
The volume formula for a right circular cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the volume of the cylinder is 29,673 inches^3 and the height is 42cm (which is approximately 16.54 inches), we can plug these values into the volume formula and solve for the radius:
29,673 = πr^2 * 16.54
r^2 = 29,673 / (16.54 * π)
r^2 ≈ 565.84
r ≈ √565.84
r ≈ 23.8 inches
Therefore, the radius of the cylinder at a height of 42cm is approximately 23.8 inches.
Since the diameter of a cylinder is twice the radius, the diameter is 2 * 23.8 ≈ 47.6 inches.
So, the closest option is 30 inches.