To find the volume of a cylinder with the radius the same as the sphere and the height equal to the sphere, we need to first find the radius of the sphere.
The formula for the volume of a sphere is: V = (4/3)πr^3, where V is the volume and r is the radius.
Given that the volume of the sphere is 48 m^3, we can rearrange the formula to solve for the radius:
48 = (4/3)πr^3
Multiplying both sides by 3/4 and dividing by π, we get:
r^3 = 48 * (3/4) / π
r^3 = 36 / π
Taking the cube root of both sides, we find:
r ≈ 3.014 m
Now that we have the radius of the sphere, we can find the volume of the cylinder. The formula for the volume of a cylinder is: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Since the radius of the cylinder is the same as the sphere (r ≈ 3.014 m), and the height of the cylinder is equal to the sphere, the volume of the cylinder will be:
V = π(3.014)^2(3.014)
V ≈ 85.68 m^3
Therefore, the volume of the cylinder is approximately 85.68 m^3.
The volume of sphere is 48 m to the power of 3 what is the volume of a cylinder if it's radius is the same as a Spears and as height is equal to the spirit
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1 answer