Solve the Problem $n = 10$ Round Your Answer to the Nearest Thousandth

Multiple Choice

Solve the problem.
-The height of a vase is 5 inches. The table shows the circumference of the vase (in inches) at half-inch intervals starting from the top down. Estimate the volume of the vase by using the Trapezoidal rule with $n = 10$ . Round your answer to the nearest thousandth. [Hint: you will first need to find the areas of the cross-sections that correspond to the given circumferences.]
$\begin{array}{lr}{\text { Circumferences }} \\\hline 4.7 & 8.1 \\4.2 & 9.4 \\4.1 & 10.1 \\4.8 & 8.5 \\5.6 & 6.4 \\6.8 &\end{array}$

A) $61.856 \mathrm { in } ^ { 3 }$
B) $62.876 \mathrm { in } ^ { 3 }$
C) $101.552$ in. 3
D) $105.479$ in. $^ { 3 }$