SSC MTS 2024 PYQ — Question 20

SSC MTS - 07/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q20

A hemispherical bowl with a diameter of 14 cm has to be painted inside and outside. How much it will be charged at the rate of ₹20 per 40 cm2?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. ₹308.

Radius = 14 ÷ 2 = 7 cm

Total painted area = 2πr2 (inside) + 2πr2 (outside) = 4πr2

⇒ 4 × (22/7) × 7 × 7 = 4 × 154 = 616 cm2

Rate = ₹20 per 40 cm2 = ₹0.5 per cm2

Total cost = 616 × 0.5 = ₹308