Chapter 11.3, Problem 30PPS

To determine

To find: The area of each tablecloth in square feet.

Answer to Problem 30PPS

The area of each tablecloth is $81.71$ ft².

Explanation of Solution

Given information: Diameter of the circular table is $6$ ft and height of the table is 34 in.

Formula used: Area of circle $=\pi r^2$

And, surface area of hollow cylinder $=2\pi rh$

Here, $r=$ radius and $h=$ height.

Calculation: Area of the each tablecloth,

A $=\pi r^2+2\pi rh$

Where, $r=\frac{6}{2}=3$ ft, $h=\frac{34}{12}$ ft and $\pi =\frac{22}{7}$

A $=\frac{22}{7}\times {\left(3\right)}^2+2\times \frac{22}{7}\times 3\times \frac{34}{12}$

A $=\frac{22}{7}\times 9+2\times \frac{22}{7}\times 3\times \frac{34}{12}$

A $=\frac{22}{7}\left[9+17\right]$

A $=81.71$ ft²

Hence, the area of each tablecloth is $81.71$ ft².