The volume and surface area of a sphere, with radius r, is defined as - (1) and A(r)=4πr2Differentiating (1) with respect to t, we get=(Surface area of a sphere)×(rate of change of radius)

Q. 245.0( 1 Vote )

B. surface area times the rate of change of diameter

C. surface area times the rate of change of radius

D. none of these

Class 12th RD Sharma - Volume 1 13. Derivative as a Rate Measurer

Answer :

The volume and surface area of a sphere, with radius r, is defined as

- (1) and A(r)=4πr²

Differentiating (1) with respect to t, we get

=(Surface area of a sphere)×(rate of change of radius)

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B. surface area times the rate of change of diameterC. surface area times the rate of change of radiusD. none of these

B. surface area times the rate of change of diameter

C. surface area times the rate of change of radius

D. none of these