SSC CPO 2019 PYQ — Question 105

SSC CPO Tier I - 9th December 2019 - Shift 1 • Quantitative Aptitude • Q105

The  height of the right circular cone is 35cm and the area of the curved surface is four times the area of its base. What is the volume of the cone (10-3 m3 and correct up to the three decimal place)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 2.994

Understanding

Application

CSA = πrl

Area of base = πr2

l2 = h2 + r2

 πrl = 4πr2

 l = 4r

 l2 = h2 + r2

 16r2 = 352 – r2

 15r2 = 35 × 35

 

Volume = 

 = 2994.444

 = 2.994