**Note:** The above diagram is not drawn to scale.

(A)\(\ \ 14\)

(B)\(\ \ \frac{84}{5}\)

(C)\(\ \ 17\)

(D)\(\ \ 18\)

(E)\(\ \ \frac{94}{5}\)

If the following three geometric shapes have the same surface area, what is \(h^2a^2?\)

\(\begin{array}{r r l}
& \text{I.} & \text{a sphere with radius } 1\\

& \text{II.} & \text{a right circular cone with base radius } 1 \text{ and height } h\\

& \text{III.} & \text{a regular tetrahedron with edge length } a\\

\end{array}\)

(A)\(\ \ 32\sqrt{2}\)

(B)\(\ \ 16\pi\)

(C)\(\ \ 32\sqrt{3}\)

(D)\(\ \ \frac{32\sqrt{3}\pi}{3}\)

(E)\(\ \ 16\sqrt{2}\pi\)

**Note:** The above diagram is not drawn to scale.

(A)\(\ \ 60\)

(B)\(\ \ 65\)

(C)\(\ \ 70\)

(D)\(\ \ 75\)

(E)\(\ \ 80\)

(A)\(\ \ 6\)

(B)\(\ \ 6.5\)

(C)\(\ \ 7\)

(D)\(\ \ 7.5\)

(E)\(\ \ 8\)

Note: The above diagram is not drawn to scale.

(A)\(\ \ 24^\circ\)

(B)\(\ \ 27^\circ\)

(C)\(\ \ 30^\circ\)

(D)\(\ \ 33^\circ\)

(E)\(\ \ 36^\circ\)

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