Mathematics

Problem

Which of the following gives the total volume

V

(in

\text{cm}^3

) of a solid obtained by placing a hemisphere of radius

r

directly on top of a right circular cylinder of the same radius

r

and height

h

? a)

V = \pi r^{2}h + \dfrac{4}{3}\pi r^{3}

V = \pi r^{2}h + \dfrac{2}{3}\pi r^{3}

V = 2\pi r^{2}h + \dfrac{2}{3}\pi r^{3}

V = \pi r^{2}h - \dfrac{2}{3}\pi r^{3}