Chapter 12.4, Problem 2PSA

To determine

To calculate: The volume of cement needed to form the concreate pedestal.

Answer to Problem 2PSA

The volume of cement needed to form the concreate pedestal is $\left(5\pi +6\right)m^3$ .

Explanation of Solution

Given information:

A cylinder with radius of 1 m and height of 5 m.

A rectangle box with length 4 m and width 3 m.

Formula used:

Volume of cylinder $=B\times h$

B = Base area of cylinder and h = height of cylinder

Volume of rectangular box $=l\times w\times s$

l = length of rectangle

w = width of rectangle s = height of rectangle

Calculation:

  

  $\begin{array}{l}r=1\\ B=\pi r^2=\pi {\left(1\right)}^2=\pi \\ h=5\end{array}$

Volume of cylinder $=B\times h$

Volume of cylinder $=\pi \times 5$

Volume of cylinder $=5\pi$

Volume of rectangular box $=l\times w\times s$

  $s=0.5$

Volume of rectangular box $=4\times 3\times 0.5$

Volume of rectangular box $=6$

Volume of pedestal = Volume of cylinder + Volume of rectangular box

Volume of pedestal $=\left(5\pi +6\right)m^3$