Answer:
[tex]20 \: ft^{3} [/tex]
Step-by-step explanation:
Let's find the volume of 1 pontoon first.
Volume of pontoon
= volume of cylinder + 1 sphere
(since there are 2 hemispheres in total)
Volume of cylinder=[tex]\pi {r}^{2} h[/tex]
Volume of sphere=[tex] \frac{4}{3} \pi {r}^{3} [/tex]
Radius= 1÷2
Radius= 0.5 ft
Volume of cylinder
[tex] = \pi(0.5)^{2} (12) \\ = 3\pi \: {ft}^{3} [/tex]
Volume of sphere
[tex] = \frac{4}{3} \pi(0.5)^{3} \\ = \frac{1}{6} \pi \: {ft}^{3} [/tex]
Volume of 1 pontoon
[tex] = 3\pi + \frac{1}{6} \pi \\ =\frac{19}{6} \pi [/tex]
Total volume of 2 pontoons
[tex] = 2(\frac{19}{6} \pi) \\ = \frac{19}{3}\pi \\ = 20 \: {ft}^{3} [/tex]
(nearest whole number)
