Question

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

Answer 1

`\boxed{ \approx 1734.2 m^2}`

Explanation:

The volume of a cylinder
`V_c` is calculated using the following formula.

`V_c=\pi r^2 h_c`

And, the volume of a circular pyramid
`V_p` is calculated with the:

`V_p=(\pi r^2 h_p)/(3)`

where:

• 
  `r=` is the radius of the base
• 
  `h=` is the height of the cylinder/circular pyramid.

knowing this, we can solve the exercise:

`\begin{aligned}V&= V_c+V_p\\&=\pi r^2 h_c+ (\pi r^2 h_p)/(3)\\&= \pi r^2 (h_c+ (h_p)/(3))\\&= \pi (6)^2 (12+(10)/(3))\\&= 552 \pi m^2\\& \approx 1734.2 m^2\end{aligned}`

`\text{-B$\mathfrak{randon}$VN}`