A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the…

Question

A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the ice-cream layer is $1 \, \text{cm}$ , the ice-cream melts at the rate of $81 \, \text{cm}^3/\text{min}$ and the thickness of the ice-cream layer decreases at the rate of $\frac{1}{4\pi} \, \text{cm}/\text{min}$ . The surface area (in $\text{cm}^2$ ) of the chocolate ball (without the ice-cream layer) is:

A
$225\pi$
B
$128\pi$
C
$196\pi$
D
$256\pi$

Accepted Answer

D. $$256\pi$$

Answer

A. $$225\pi$$

Answer

B. $$128\pi$$

Answer

C. $$196\pi$$

Answer & step-by-step solution

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