Chapter 12.4, Problem 1PSA

a.

To determine

To calculate: The volume of cylinder with radius of 5 and height of 12.

Answer to Problem 1PSA

The volume of cylinder is $300\pi$ .

Explanation of Solution

Given information:

A cylinder with radius of 5 and height of 12.

Formula used:

Volume of cylinder $=B\times h$

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

Calculation:

  

  $\begin{array}{l}r=5\\ B=\pi r^2=\pi {\left(5\right)}^2=25\pi \\ h=12\end{array}$

Volume of cylinder $=B\times h$

Volume of cylinder $=25\pi \times 12$

Volume of cylinder $=300\pi$

b.

To determine

To calculate: The volume of prism with dimensions 8, 9 and 10.

Answer to Problem 1PSA

The volume of prism is $720$ .

Explanation of Solution

Given information:

h = 8,

l = 10,

w = 9.

Formula used:

Volume of prism $=B\times h$

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

Area of rectangle: $A=l\times w$

l = length of rectangle

w= width of rectangle

Calculation:

  

  $B=l\times w=10\times 9=90$

Volume of prism $=B\times h$

Volume of prism $=90\times 8$

Volume of prism $=720$