SSC CHSL 2024 PYQ — Question 72

SSC CHSL - 08 July 2024 - Shift 4 • Quantitative Aptitude • Q72

Find the cost of painting a ball that is in the shape of a sphere with a radius of 14 cm. The painting cost of the ball is ₹5 per square centimetre (take π=227π = {22\over7}).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. ₹12,320.

We know that,

Surface area of the sphere(SA) = 4πr2

here, r = radius

⇒ SA = 4 × 22/7 × 14 × 14

⇒ SA = 4 × 22 × 2 × 14

⇒ SA = 8 × 22 × 14

⇒ SA = 2464 cm2

The cost of painting is ₹5 per square

Total cost = 2464 × 5 

Total cost = ₹12320

Thus, The cost of painting the ball is ₹12320