Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The lateral surface area of a cylinder is 1106 cm2. Given that the height is 11 cm, calculate the radius. Answer to the nearest cm.

Sagot :

diene
the formula for the surface area of a cylinder with radius r and height h is [tex]2 \pi r^2 + h*2 \pi r[/tex]
since h=11, substitute into the formula to get [tex]2 \pi r^2 + 11*2 \pi r=1106[/tex]
[tex]2 \pi r^2 + 22 \pi r= 1106[/tex]
[tex]\pi r^2 + 11\pi r= 553[/tex]
since the total surface area isn't given in pi units, we can set pi=3.14
[tex]3.14r^2 + 11*3.14 r= 553[/tex]
[tex]3.14r^2 + 34.54 r= 553[/tex]
[tex]3.14r^2 + 34.54 r-553=0[/tex]
[tex]314r^2 + 3454 r-55300=0[/tex]
[tex]157r^2 + 1727 r-27650=0[/tex]
[tex]\boxed{r\approx 9 cm}[/tex]