Question

if the rate of change of volume of a sphere is equal to the rate of change of its radius then find it's radius?​

Answer 1

Answer:

If the Rate of Change of Volume of a Sphere is Equal to the Rate of Change of Its Radius, Then Its Radius is Equal to 1 / 2√ π Units.

Step-by-step explanation:

Please find below the solution to the asked query:

Volume of a sphere V= 43πr3

Given, dV=dror dVdr=1 −−−(1)

V= 43πr3

differentiating both sides w.r.t

rdVdr=43π×3r2

from 1, we get

1=43π×3r21=4πr2r2=14πr=12π

√Hence radius of sphere is r=1/2√π