approximate the volume of material in a spherical shell of inner radius 4 centimeters and outer radius 4.683 centimeters

Question

its a calculus question and we are on the section about derivatives

Answer 1

Since the formula for the volume of a sphere is V = (4/3)πr³ the approximate change in V is ΔV=(4/3)(3)πr²Δr.

 

(Notice that we took the derivative to get the expression for ΔV.)

 

Calculate ΔV by using r=4 and Δr=.683.

 

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