AP EAMCET · Maths · Application of Derivatives
A spherical iron ball of radius is coated with a layer of ice of uniform thickness that melts at a rate of . When the thickness of ice is then the rate (in ) at which of the thickness of ice decreases, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
We know that, the volume of a sphere of radius r is 43πr3 cm3. It is given that, a spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness, let the thickness is 'x' cm, then volume of the ball is V=43π10+x3 cm3. On…
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