SSC GD 2019 PYQ — Question 63

SSC GD Constable (English) - 18 Feb 2019 Shift 2 • Quantitative Aptitude • Q63

A solid toy is in the form of hemisphere surmounted by right circular cone. Height of the cone is 4 cm and diameter of the base is 6 cm. What will be the surface area of the toy?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 726/7 cm2

Understanding/Application

Radius of cone and hemisphere = 3 cm and height = 4 cm

slant height = l = √(42 + 32) = √25 = 5 cm

Surface area of toy = Curved surface area of cone + Curved surface area of hemisphere

= πrl + 2πr2

= πr(l + 2r)

= (22/7 × 3 ) × (5 + 6)

= 726/7 cm2