Solve the problem.
-A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using Simpson's Rule.
$\begin{array}{l|l}
\text { Width (ft) } & \text { Depth (ft) } \
\hline 0 & 4 \
3 & 4.5 \
6 & 5 \
9 & 6 \
12 & 6.5 \
15 & 7 \
18 & 8
\end{array}$

A) $9300 \mathrm { ft } ^ { 3 }$
B) $12,300 \mathrm { ft } ^ { 3 }$
C) $10,500 \mathrm { ft } ^ { 3 }$
D) $7000 \mathrm { ft } ^ { 3 }$

Question

Solve the problem.
-A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using Simpson's Rule.
$\begin{array}{l|l}
\text { Width (ft) } & \text { Depth (ft) } \
\hline 0 & 4 \
3 & 4.5 \
6 & 5 \
9 & 6 \
12 & 6.5 \
15 & 7 \
18 & 8
\end{array}$

A) $9300 \mathrm { ft } ^ { 3 }$
B) $12,300 \mathrm { ft } ^ { 3 }$
C) $10,500 \mathrm { ft } ^ { 3 }$
D) $7000 \mathrm { ft } ^ { 3 }$

Quizplus · Accepted Answer

Using Simpson's Rule:

$$V \approx \frac{3}{8}\left[4(100)+2(4.5+5+6+6.5+7)+8(8)\right](18)$$

$$V \approx 10,500 \mathrm {ft}^3$$

Therefore, the best choice is C, because it is the closest approximation to the estimated volume of water in the pool.

Solve the Problem A) 9300ft39300 \mathrm { ft } ^ { 3 }9300ft3

Solve the Problem A) $9300 \mathrm { ft } ^ { 3 }$