Question

CLASS 10 - FIITJEE

$\textbf{Evaluate the following limits :}\\\\ \lim_{x \to \pi} \frac{sin(\pi-x)}{\pi(\pi-x)}\\ \\ \lim_{x \to \infty} \frac{\sqrt{2x^2-3}-\sqrt[4]{x^3+2x}}{\sqrt[3]{x^3+x^2+1} }$

A balloon in the form of a right circular cone surmounted by a hemisphere , having diameter equal to the height of cone is being inflated by pumping in air . How fast its volume changes with respect to height . Take h = 9 cm.

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Answer 1

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Answer 2

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