SSC CPO 2019 PYQ — Question 128

SSC CPO Tier I - 11th December 2019 - Shift 1 • Quantitative Aptitude • Q128

The total surface area of a solid hemisphere is 1039.5 cm2. The volume (in cm3) of the hemisphere is: (Take π = 22/7)

Show answer & explanation

Correct answer: C

Explanation

   The correct answer is option 3 i.e. 2425.5

Understanding

Application

Total surface area of a solid hemisphere is 1039.5 cm2

So,

3πr2 = 1039.5

3 × 22/7 × r2 = 1039.5

r2 = 110.25

r = 10.5

Radius = 10.5 = 21/2 cm

So,

Volume of hemisphere:

= 2/3 × π × r3

= 2/3 × 22/7 × (21/2)3

= 2425.5 cm3