Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

POS The radius of a cylindrical box of oatmeal is 5 centimeters. The height of the box is 18 centimeters. 5 cm 18 cm QATMEAL Which measurement is closest to the total surface area of the oatmeal box in square centimeters? A 597 cm2 B 361 cm? C 314 cm? D 723 cm?

POS The Radius Of A Cylindrical Box Of Oatmeal Is 5 Centimeters The Height Of The Box Is 18 Centimeters 5 Cm 18 Cm QATMEAL Which Measurement Is Closest To The T class=

Sagot :

[tex]723cm^2[/tex]

Explanation

Step 1

to find the area, imagine the unfolded cylindrical box

Let

length=18 cm

width=2*pi*radius

radius= 5 cm

[tex]\begin{gathered} \text{width}=2\cdot\pi\cdot5\text{ cm} \\ \text{width}=10\cdot\pi\cdot\text{cm} \\ \text{width}=31.4\text{ cm} \end{gathered}[/tex]

Step 2

now, the total area would be

[tex]\begin{gathered} \text{total area= area of the rectangle+twice area of the circle} \\ \text{replacing} \\ \text{total area=(length}\cdot widht9+2(\pi\cdot radius^2) \\ \text{total area=(18 cm}\cdot31.4\text{ cm)+2(3.14}\cdot25cm^2) \\ \text{total area=565.2 cm}^2+157.07cm^2 \\ \text{total area=722.27 cm}^2 \\ \text{rounded} \\ 723cm^2 \end{gathered}[/tex]

I hope this helps you

View image AlaskaD57032
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.