Math, asked by shahidmahar92271, 1 year ago

Find the radius of a sphere whose surface,area and volume are equal

Answers

Answered by ashajain1
1
The volume of a sphere is equal to the surface area of the sphere. If this value is equal to Nπ, what is the value of N?

The formula for the volume of a sphere is V=43πr3, where V is volume and r is radius length.

The formula for the surface area of a sphere is SA=4πr2, where SA is surface area and r is radius length.

Equate the two formulas together:

43πr3=4πr2

Then divide both sides of the equation by 4πr2 to obtain

13r=1, since r>0

Multiply both sides by 3 to get r=3.

The surface area is 4π(3)2=36π

Equating this result to what you are asking, N=36.
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