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Hoochie [10]
3 years ago
11

Find the ratio of the volume of one sphere to the volume of the right cylinder

Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

B


Step-by-step explanation:

<em>Let r be the radius of one sphere.</em>

  • Volume of sphere is V=\frac{4}{3}\pi r^3

Since radius is r,  the height of the cylinder will be 4r

Also, the cylinder has the same radius as the sphere: r


  • Volume of Cylinder is V=\pi r^2 h

Plugging in the values we get: V=\pi (r)^{2}(4r)=4\pi r^3


<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:

\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}

The ratio is 1:3

Answer choice B is right.

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