What is the volume of a sphere of radius 3√2 cm?

Correct option is D

Given:
Radius of the sphere, r = 3$$\sqrt 2$$​ cm
Formula Used:
Volume of a sphere = $$\frac{4}{3} \pi r^3$$​​
Solution:
​$$V = \frac{4}{3} \pi (3\sqrt{2})^3 = \frac{4}{3} \pi (3^3 \times (\sqrt{2})^3) = \frac{4}{3} \pi (27 \times 2\sqrt{2}) = \frac{4}{3} \pi \times 54\sqrt{2} = 72 \pi \sqrt{2} \, \text{cm}^3$$​​
The volume of the sphere is 72π$$\sqrt 2$$​ cubic centimeters.