Question

4. Nguyen is decorating the room for her sister's baby shower party. She is wrapping
Vietnamese conical hats in baby prints tissue paper to decorate the tables and some
shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If
she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?
A 4,176 in2
B 8,975 in2
C 10,580 in2
D 36,267 in 2

Answer 1

Answer:

Step-by-step explanation:

Given the information of the conical hat

• diameter of 16 inches => Radius = 8 inches
• height of 9 inches

=> the slant height of the hat is (use Pythagorean Theorem)

$s^{2}$ = $r^{2} + h^{2}$

<=> $s^{2}$ = $8^{2} + 9^{2}$

<=> s = $\sqrt{145}$  

The area (without the base area) of tissue paper will she need to make one hat is:

SA = πrs  in2

<=> SA =  π*8*$\sqrt{145}$  in2

<=> SA =8 $\sqrt{145}$ π

=> the total tissue paper will she need for 21 hats is:

SA*21

= 8 $\sqrt{145}$ π*21

= 6352,18 in 2