JEE Mains · Maths · STD 12 - 6. Application of derivatives
The volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius \( = \sqrt 3 \) is
- A \(\frac{4}{3}\sqrt 3 \pi \)
- B \(\frac{8}{3}\sqrt 3 \pi \)
- C \(4\pi \)
- D \(2\pi \)
Answer & Solution
Correct Answer
(C) \(4\pi \)
Step-by-step Solution
Detailed explanation
Given, radius of sphere \(=\sqrt{3}\) Now, In \(\Delta \mathrm{OAB}\), by Pythagoras theorem \((\mathrm{OA})^{2}=(\mathrm{OB})^{2}+(\mathrm{AB})^{2}\) \((\sqrt{3})^{2}=\left(\frac{h}{2}\right)^{2}+r^{2}\) \(3 = \frac{{{h^2}}}{4} + {r^2}\)…
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