Question

Find the volume of the composite solid. Round your answer to the nearest tenth

Answer 1

Hint: Volume of composite solid = Volume of cylinder + Volume of cone

Step 1:

Given

Height of cylinder = $4ft$

Height of cone = $6ft$

Diameter of cylinder = Diameter of cone = $16ft$

Radius of cylinder = Radius of cone $=\frac{16}{2}=8ft$

Step 2: Volume of composite solid $=\mathrm{\pi }{\left(\mathrm{r}\right)}^2\mathrm{h}+\frac{1}{3}\mathrm{\pi }{\left(\mathrm{r}\right)}^2\mathrm{h}$

Step 3:

Volume of composite solid

$$\begin{gathered} =\mathrm{\pi }{\left(8\right)}^{2}6+\frac{1}{3}\mathrm{\pi }{\left(8\right)}^{2}4=504\mathrm{\pi }+\frac{256}{3}\mathrm{\pi } \\ =1583.36+268.08 \\ =1851.44 \end{gathered}$$

Final Answer: Volume of composite solid is about is $1851.44f{t}^3$