SSC MTS 2019 PYQ — Question 51

SSC MTS Previous Year - 07 August 2019 - Shift 1 • Quantitative Aptitude • Q51

The height of a circular cone is 24 cm and the radius of its base is 7 cm.What is the cost of painting the curved surface area of the cone at the rate of Rs. 6 per cm2 ? (Take π = 22/7)

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e. Rs. 3300

Understanding

Application

Calculation

Given,

Height of cone = 24 cm

Radius of base = 7 cm

So,

Lateral height (l) =

√(242 + 72)

= 25 cm

√(242 + 72)

⇒ √(576 + 49)

⇒ √625

⇒ 25

Curved surface area = πrl

So,

CSA = 22/7 × 7 × 25

CSA = 550 cm2

⇒ 22/7 × 7 × 25

⇒ 22 × 25

⇒ 550

Rate of painting =

So,

Cost of painting = Rs. 3300

⇒ 550 × 6

⇒ 3300