MHT CET · Maths · Application of Derivatives
An open tank with a square bottom is to contain 4000 cubic cm . of liquid. The dimensions of the tank so that the surface area of the tank is minimum, is
- A side \(=20 \mathrm{~cm}\), height \(=10 \mathrm{~cm}\)
- B side \(=10 \mathrm{~cm}\), height \(=20 \mathrm{~cm}\)
- C side \(=10 \mathrm{~cm}\), height \(=40 \mathrm{~cm}\)
- D side \(=20 \mathrm{~cm}\), height \(=05 \mathrm{~cm}\)
Answer & Solution
Correct Answer
(A) side \(=20 \mathrm{~cm}\), height \(=10 \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
\( V = s^2 h = 4000 \) \( A = s^2 + 4sh \)
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