Question

A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.4 inch and a height of 2.2 inches. How many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticks? Leave the answer in terms of π.

2.08π square inches

6.24π square inches

8.32π square inches

19.59π square inches

Answer 1

`6.24\pi \: {in}^(2)`

Explanation:

Given:

r (radius) = 0,4 in

h (height) = 2,2 in

n (the number of lipsticks) = 3

Find: A (total surface area) - ?

First, we have to find how much gift wrap will the makeup artist need to wrap one lipstick:

`a(surface1) = 2\pi {r}^(2) + 2\pi * r * h`

`a(surface1) = 2\pi * ({0.4})^(2) + 2\pi * 0.4 * 2.2 = (52\pi)/(25)`

Now, let's multiply this number by the quantity of lipsticks the makeup artist has to wrap:

`a(total) = (52\pi)/(25) * 3 = (156\pi)/(25) = 6.24\pi \: {in}^(2)`

Answer 2

Answer:
6.24t in?
Explanation:
Given:
r (radius) = 0,4 in
h (height) = 2,2 in
n (the number of lipsticks) = 3
Find: A (total surface area) - ?
First, we have to find how much gift wrap will the makeup artist need to wrap one lipstick:
a(surfacel) = 27/2 + 27 xrx h
a(surface1) = 27 × (0.4)? + 27 x 0.4 x 2.2 = 525
Now, let's multiply this number by the quantity of lipsticks the makeup artist has to wrap:
a(total) = 55 × 3=46 = 6.24rin? R is pi