The radius of a hemisphere is 2.1 cm. What will be its volume?

a) 24.6 cm3
b) 15.7 cm3
c) 19.4 cm3
d) 17.6 cm3

Ans : c) 19.4 cm3

(SSC Constable GD Exam previous paper- Maths)

Solution :

To calculate the volume of a hemisphere, we use the formula:

Volume of hemisphere = \frac{2}{3} \pi r^3

Where:

  • pi is approx 3.1416
  • (r) is the radius of the hemisphere, which is given as 2.1 cm.

Now, substituting the values into the formula:

\text{Volume} = \frac{2}{3} \times 3.1416 \times (2.1)^3
\text{Volume} = \frac{2}{3} \times 3.1416 \times 9.261
\text{Volume} = \frac{2}{3} \times 29.099856
\text{Volume} \approx 19.40 \, \text{cm}^3

So, the volume of the hemisphere is 19.40 cm³.

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