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Q.

The side of a cubic is equal ot the radius of a sphere. If the side and the radius increases at the same rate then the relation between the rate of change of surface areas of the cube and sphere is .

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a

$< 1$

b

$= 1$

c

$\geq 1$

d

$> 1$

answer is A.

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Detailed Solution

S₁ = surface area = 6a²
$S_{2} {= 4πa}^{2}$ . Find the ratio of $\frac{{ds}_{1}}{dt} & \frac{{ds}_{2}}{dt}$
$∴ 3 : 2π$

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