A toy is in the form of a right circular cone. The base of the cone is placed perfectly on the base of the hemisphere. If the height of the cone is twice the radius of the cone and the sum of the height of the toy and the hemisphere is \(15\) centimeters, what is the volume of the hemisphere in cubic centimeters? (The volume of a sphere is \(\dfrac43\pi r^3,\) where \(r\) is the radius)

A. \(\dfrac{100\pi}3\)

B. \(\dfrac{125\pi}3\)

C. \(\dfrac{250\pi}3\)

D. \(\dfrac{500\pi}3\)

E. Cannot be determined

Answer: C

Source: e-GMAT