Chapter 12.3, Problem 1CK

(a)

To determine

To find: Thevolume of paint approximate or exactly.

Answer to Problem 1CK

The volume of paint approximate is $75\cdot 39{\text{unit}}^3$ .

Explanation of Solution

Given information:

The given figure is shown below.

  

Figure (1)

Calculation:

The values are.

  $\begin{array}{l}r=10\\ h=12\end{array}$

The approximate volume of the cylinder is calculated as.

  $\begin{array}{c}V=2\pi rh\times t\\ =2\pi \times 10\times 12\times 0\cdot 1\\ =75\cdot 39{\text{unit}}^3\end{array}$

Therefore, the volume of paint approximate is $75\cdot 39{\text{unit}}^3$ .

(b)

To determine

To find: The reason for choosing the approximate volume.

Answer to Problem 1CK

The paint thickness is only covering the lateral part of the cylinder

Explanation of Solution

Given information:

The given figure is shown below.

  

Figure-(1)

Calculation:

This formula is only approximation of volume.

Because the paint thickness is only covering the lateral part of the cylinder.

So, the exact volume can be differed from this.

Therefore, the paint thickness is only covering the lateral part of the cylinder.