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SSC CPO 2023 PYQ — Question 123

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q123

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The heights of two cones are in the ratio 7 : 5 and their diameters are in the ratio 10:21. What is the ratio of their volumes? (Where π=227\pi=\frac{22}{7})

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 20 : 63.

Formula used

Volume of the cone = 1/3 × 𝜋 × r2 × h

here, r = radius, and h = height

Now, according to the question

Volume of cone1/Volume of cone2 = (1/3 × 𝜋 × r12 × h1)/(1/3 × 𝜋 × r22 × h2)

Volume of cone1/Volume of cone2 = ((10/5)2 × 7)/((21/5)2 × 5)

⇒ ((100/25) × 7)/((441/25) × 5)

⇒ (100 × 7)/(441 × 5) = 20 : 63