
Concept explainers
(a)
To find: the volume and surface area of a sphere with radius 2 inches.
(a)

Answer to Problem 20MCQ
The volume is
Explanation of Solution
Formula Used:
The formula for the surface area of a sphere is
Calculation:
The formula for the volume of a sphere is
Now, substitute the value of
Now, Substitute the value
So, the volume is
(b)
Whether it is possible for a sphere to have the same numerical value for the surface area and volume, and to find the radius of such a sphere.
(b)

Answer to Problem 20MCQ
The radius of the sphere is 3.
Explanation of Solution
Formula Used:
The formula for the surface area of a sphere is
Calculation:
The surface area is equal to the volume,
So,
So, the radius of the sphere is 3.
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