SSC MTS 2024 PYQ — Question 6

SSC MTS - 18/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q6

The external curved surface area of a metallic hemispherical bowl is 308 cm2 . If the density of metal is 8.7 gm per cm3 , then  the mass of the bowl is equal to: (π=227\pi= {22\over 7})

Show answer & explanation

Correct answer: C

Explanation

The correct answer is  option 3  i.e. 6252.4 gm.

Curved surface area = 2πr² = 308

→ 2 × 22/7 × r² = 308

→ r² = 49 → r = 7 cm

Volume = (2/3)πr³ = (2/3) × 22/7 × 343 = 718.67 cm³

Mass = 718.67 × 8.7 = 6252.4 gm