Find the volume of the figure the diameter of the base is 4 cm

The figure is a cylinder that has d= 4 cm and h= 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm)


Please help! Thanks!

Answer Choices:
A. 22π cm^3
B. 152/3 π cm^3
C. 62/3 π cm^3
D. 46/3 π cm^2

Respuesta :

The answer is B. 152/3 pi cm^3.

D

Total volume = volume of cylinder + volume of hemisphere

Total volume = pi * r^2 * h  + 2/3 * pi * r^3, where r = 2 and h = 2.5

total volume = 46/3 pi cm^2