SSC CGL 2018 PYQ — Question 45

SSC CGL Tier II Quant - 20/02/2018 • Quantitative Aptitude • Q45

A hemisphere is kept on top of a cube. Its front view is shown in the given figure. The total height of the figure is 21 cm. The ratio of curved surface area of hemisphere and total surface area of cube is 11 : 42. What is the total volume (in cm3) of figure?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3462.67

3r = 12

r = 7 cm

Side of cube = 14 cm

Volume of the figure = (14)3 + 2/3 × 22/7 × (7)3 = 3462.67 cm3