(1 point) The volume of a sphere of radius r is V = 4/3 * pi * r^3. (a) Write a differential formula that estimates the change in volume of a sphere when the radius changes from r0 to r0 + dr. Enter r0 as r0 and dr as dr. dV = [ ] help (formulas) (b) Write a differential formula that estimates the change in volume of a sphere when the radius changes from 9 to 9 + dr. dV = [ ] help (formulas) (c) Use a differential to estimate the change in volume of a melting spherical snowball when the radius changes from 9 cm to 8.7 cm. dV = [ ] cm^3
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Step 1:** The differential formula for estimating the change in volume of a sphere when the radius changes from \(r_0\) to \(r_0 + dr\) is given by: \[dV = 4\pi r_0^2 dr\] ** Show more…
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