To find the volume of a sphere, you need the radius. Since the radius of the sphere is the same as the cylinder, we can find the radius of the cylinder first.
From the formula for the volume of a cylinder: V = πr^2h (where r is the radius and h is the height), we know that the volume of the cylinder is 36 cubic cm.
Let's assume the height of the cylinder is h cm. We are given that the height is equal to the diameter of the sphere, which means the height of the cylinder is twice the radius of the sphere.
Therefore, height of the cylinder = 2 * radius of the sphere = 2r.
Substituting this information into the formula for the volume of the cylinder, we have:
36 = πr^2(2r).
Let's simplify this equation:
36 = 2πr^3
18 = πr^3
Now, to find the volume of the sphere (V_sphere), we can use the formula:
V_sphere = (4/3)πr^3
Substituting 18 for πr^3, we have:
V_sphere = (4/3)(18)
V_sphere = 24 cm^3.
Therefore, the volume of the sphere is 24 cubic cm.
The volume of a cylinder is 36 CM what is the volume of a sphere if it's radius is the same as the cylinder and the height of the cylinder is equal to the sphere diameter
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