Answer:
to the nearest tenth)?
First, we need to find the volume of the cylinder. Since we have the height and are trying to find the radius, we can use the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
We don't know the volume of the cylinder, but we can use the volume of the cone and the fact that the cone and cylinder share a base to find the radius. The volume of a cone is given by:
V = (1/3)πr^2h
where V is the volume, r is the radius, and h is the height.
We know that the height of the cone is 9 meters and its volume is 57 cubic meters, so we can set up an equation:
57 = (1/3)πr^2(9)
Simplifying, we get:
19 = πr^2
Dividing both sides by π and taking the square root, we get:
r ≈ 2.2
Therefore, the radius of the cylinder is about 2.2 meters (rounded to the nearest tenth).