SSC CGL 2019 PYQ — Question 63

SSC CGL - 11th June 2019 - Shift 2 • Quantitative Aptitude • Q63

The radii of the two circular faces of the frustum of a cone are 5 cm and 4 cm. If the height of the frustum is 21 cm, what is it volume in cm3? (π = 22/7)

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e. 1342

Concept

Understanding

Application

Volume of the frustum of cone = 1/3 × π [R2 + r2 + Rr] H

Radii of the two circular faces of the frustum of a cone are 5 cm and 4 cm. 

Height of the frustum = 21 cm

Volume = 1/3 × 22/7 × [52 + 42 + 5 × 4] × 21

⇒ 22 × [25 + 16 + 20]

⇒ 22 × 61

⇒ 1342 cm3