SSC MTS 2024 PYQ — Question 5

SSC MTS - 15/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q5

A solid has a height of 63 cm and a base radius of 16 cm . If the painting rate is ₹1.75/cm2 , What will be the total cost (in  ₹) of painting the total surface  area of the cone  ? ( use π  = 22/7 )

Show answer & explanation

Correct answer: D

Explanation

The  correct answer is  option 4  i.e. 7128.

r = 16 cm, h = 63 cm → l = √(16² + 63²) = √4225 = 65 cm

TSA = πr(l + r) = (22/7) × 16 × (65 + 16) = (22/7) × 16 × 81 = 4073.14 cm²

Cost = 4073.14 × 1.75 = ₹7128