Can someone please help me on this ASAP!
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The volume of the sphere would be 334933.33 cm³.
When comparing the formulas for the volume of a sphere and the volume of a cylinder, we think about the height of the sphere. The radius of the sphere goes from the center to each outer edge; therefore the height of the sphere, running from top and bottom of the sphere, is 2 times the radius or 2r.
Formula for volume of a cylinder:
V = πr²h
Substituting 2r for h:
V = πr²(2r) = 2πr³
The formula for the volume of a sphere:
V = (4/3)πr³
Since 4/3 < 2, the sphere has a smaller volume. The ratio of the volume of the sphere to the volume of the cylinder is 4/3:2, which can be written as:
This means that the volume of the sphere is 2/3 the volume of the cylinder. We take the volume of the cylinder, 502400, and multiply it by 2/3:
334,933.33
When comparing the formulas for the volume of a sphere and the volume of a cylinder, we think about the height of the sphere. The radius of the sphere goes from the center to each outer edge; therefore the height of the sphere, running from top and bottom of the sphere, is 2 times the radius or 2r.
Formula for volume of a cylinder:
V = πr²h
Substituting 2r for h:
V = πr²(2r) = 2πr³
The formula for the volume of a sphere:
V = (4/3)πr³
Since 4/3 < 2, the sphere has a smaller volume. The ratio of the volume of the sphere to the volume of the cylinder is 4/3:2, which can be written as:
This means that the volume of the sphere is 2/3 the volume of the cylinder. We take the volume of the cylinder, 502400, and multiply it by 2/3:
334,933.33