SSC CHSL 2023 PYQ — Question 56

SSC CHSL 2023 - 02 Aug 2023 - Shift 3 • Quantitative Aptitude • Q56

if the height and slant height of a cone are 21 cm and 29 cm, respectively. Find its volume. (π=227)(π= \frac{22}{7})

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 8800 cm3.

Given that

The height (h) and slant height (l) of a cone are 21 cm and 29 cm, respectively.

Slant height (l) = √(h2+ r2)

The volume of a cone is ⅓ 𝜋r2h cubic units

where r is the radius of a cone

⇒ 29 = √(212+ r2)

⇒ r2 = 292 - 212 = 841 - 441 = 400

⇒ r = 20 cm

Hence, Volume of a cone = ⅓ × (22/7) × 202 × 21 = 8800 cm3