A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h a
nd radius r. A cylinder with height h and radius r. What is the volume of the sphere? StartFraction 50 Over 3 EndFraction feet cubed StartFraction 100 Over 3 EndFraction feet cubed 75 feet cubed 100 feet cubed
2 answers:
Answer:
100/3 cubic feet.
Step-by-step:
In this case, if you observe the sphere, the height is simply two times the radius.
The formula to find the volume of a sphere is π * r^2 * h. The height is basically just 2r. And so, the edited formula becomes π * r^2 * 2r = 2 * π * r^3.
2 * π * r^3 = 50
π * r^3 = 25
r^3 = 7.957747155
r =
r = 1.996472712
Now that we have the measure of the radius, we can find the volume of the sphere!
(4 / 3) * π * r^3
(4/3) * π * (1.996472712)^3
= (4/3) * π * 7.957747155
= (4/3) * π * (25 / π)
= (4/3) * 25
= 100/3 cubic feet.
Hope this helps!
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