What is the volume of the sphere in terms of A?
Mathematics · High School · Tue Nov 03 2020
llm
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Find the volume of the sphere in terms of A.
Formula for the Volume of the Sphere: V=4/3πr^3
Formula for the Are of the Sphere: A = 4πr^2
Solution:
Solve first for r in terms of A.
A = 4πr^2
r^2 = A/4π
Square both sides in order to get the value of r.
r =√(A/4π)
Substitute the formula of r in terms of A to the formula for the volume of the sphere.
V=4/3π(√(A/4π))^3