To find: The ratio of the volume of a sphere to the volume of the smallest right cylinder that can contain it.
Answer to Problem 14PSC
The ratio of the volume of a sphere to the volume of the cylinder is 2:3.
Explanation of Solution
Given Information:
Right circular cylinder contains the sphere
Formula used:
Volume of a sphere
Volume of a cylinder
Calculation:
Let
Now, the smallest right cylinder which contain the sphere will have radius same as that the sphere.
Also, the cylinder will have height same as the diameter of the sphere.
We know that, Volume of a cylinder
Hence, the ratio of the volume of a sphere to the volume of the cylinder is 2:3.
Chapter 12 Solutions
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