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SSC Selection Post 2022 PYQ — Question 55

SSC Selection Post - Matriculation Level 2022 - 2 Aug 2022 - Shift 1 • Quantitative Aptitude • Q55

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60% of diameter of a hemisphere measures 8.4 cm. What is its volume (in cm3 , rounded off to the nearest tens)?

(Take π=227)\pi={22\over7})

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 720.

60% of diameter = 8.4

Diameter = 14 cm

Radius = 7 cm

Volume = 23πr3=23×227×73=23×227×343=1509221≈718.7\frac{2}{3} \pi r^3 = \frac{2}{3} \times \frac{22}{7} \times 7^3 = \frac{2}{3} \times \frac{22}{7} \times 343 = \frac{15092}{21} \approx 718.7

Rounded off to nearest tens: 720 cm³