Chapter SH, Problem 12.3MPS

i.

To determine

Calculate the volume of bird aviary.

  

Answer to Problem 12.3MPS

Volume of bird aviary is $226.19f{t}^3$

Explanation of Solution

Given:

  

Calculations:

Here, bird aviary is of cylindrical shape, so we have to calculate the volume of cylinder.

We know that, volume of cylinder is given as, $Areaofcross\sec tion\times height$

Now putting values in the formula, we get volume of cylinder $\begin{array}{l}volumeofcylinder=Areaofcross\sec tion\times height\\ =\pi \times r^2\times 8\\ =\pi \times 3^2\times 8\\ volumeofcylinder=226.19f{t}^3\end{array}$

Conclusion:

Therefore, we are able to find the volume of cylinder.

ii.

To determine

Calculate the surface area of bird aviary.

  

Answer to Problem 12.3MPS

Surface area of bird aviary is $207.338f{t}^2$

Explanation of Solution

Given:

  

Calculations:

Here, bird aviary is of cylindrical shape, so we have to calculate the surface area of cylinder.

We know that, surface area of cylinder is given as, $2\pi rh+2\pi r^2$

Now putting values in the formula, we getsurface area of cylinder $\begin{array}{l}Surfaceareaofcylinder=2\pi rh+2\pi r^2\\ =\left(2\times \pi \times 3\times 8\right)+\left(2\times \pi \times r^2\right)\\ =150.79+56.54\\ Surfaceareaofcylinder=207.338f{t}^2\end{array}$

Conclusion:

Therefore, we are able to find the surface area of cylinder.