what is the lateral area and surace area for a cylinder who radus is 5 and side is 10?

Answer 1

The lateral area of a cylinder is the circumference of the base times the height:

2 * pi * 5 * 10 = 120pi

(Think about wrapping a piece of paper around the cylinder; the length of that piece of paper would be the circumference of the circle.)

Then to get total surface area, just add on the area of the 2 bases:

2 * pi * 5^2 = 50 pi

Total = 120pi + 50pi = 170pi

Answer 2

The lateral area (LA) of a cylinder is as follows: LA = 2πrh. Furthermore, the surface area (SA) is equal to the LA plus the area of the two bases. Hence, SA = LA + 2 π r^2 .

Since the radius is 5 and the side (or height) is 10, we therefore have the following:

LA = 2π *5 *10 =2 π*50 = 100π

(An approximation, rounded to 4 decimal places, for 100π is 314.1593.)

Consequently,

SA = 100π + 2π5^2 = 100π + 2 π*25 = 150π

(An approximation, rounded to 4 decimal places, for 150π is 471.2389.)

(WARNING! 2*5*10 = 100, NOT 120, as indicated in the answer above.)