If the diameter of a hemisphere is 8 cm, then the volume of the hemisphere (in cm³) is:

Correct option is B

Given:

Diameter of hemisphere = 8 cm

Formula Used:

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

Solution:

Radius of hemisphere  = $$\frac{8}{2} = 4\ cm$$​​

Volume of hemisphere =$$\frac{2}{3}\times\pi \times ((4)^{3})$$​​

​$$= \frac{2}{3}\times \pi \times 64$$​​

​$$=\frac{128}{3}\pi =42\frac{2}{3}\pi \ cm^{3}$$​​