Question

The cylinder shown below has a radius of 9 inches and a height of 31 inches.

Answer 1

What is the approximate lateral area of the cylinder?

Answer 2

279

Answer 3

My choices are
876.86 in²
1,131.43 in²
1,753.71 in²
2,262.86 in²
It also says use 22/7 for pi.

Answer 4

the formula for finding the lateral area of a cylinder is
L.A.= 2*pi*radius*height

so lets fill that in

L.A. = 2*22/7*9*31
L.A. = 1753.71 in²

if you want to know how you get to that formula, try to imagine cutting open the cylinder, so it forms a rectangle.

in that case you need to know the width and height of the rectangle:

we know that the height is 31in

the width is the same as the perimeter of the circle (top of the cylinder)
to find the perimeter of a circle: 2*pi*radius

so you multiply those, which gives you:

L.A. = 2*pi*radius*height