iran-konkur 2017 Q127

iran-konkur · Other · konkur-riazi_1396_specialized Volumes of Revolution Volume of Revolution about a Horizontal Axis (Evaluate)
127. The region bounded by a $2\times 5$ rectangle and a semicircle with diameter 3 units rotates around line $\Delta$. The volume of the resulting solid is how many times $\pi$?
[Figure: Rectangle with semicircle, dimensions 5 and 2 shown, axis $\Delta$]
  • [(1)] $15$
  • [(2)] $15/5$
  • [(3)] $16/5$
  • [(4)] $17$
\textbf{127.} The region bounded by a $2\times 5$ rectangle and a semicircle with diameter 3 units rotates around line $\Delta$. The volume of the resulting solid is how many times $\pi$?

\textit{[Figure: Rectangle with semicircle, dimensions 5 and 2 shown, axis $\Delta$]}

\begin{itemize}
    \item[(1)] $15$
    \item[(2)] $15/5$
    \item[(3)] $16/5$
    \item[(4)] $17$
\end{itemize}