How do I find the lateral area of this figure?

Question

anonymous · Answer

attachment

anonymous · Answer

isn't lateral area, just the surface area minus the bases?

anonymous · Answer

if I'm right, you would need to find the area of the rectangle that makes up the outside of the cylinder: A=length times width
width would be the height of the cylinder and the length would be the circumference of the circle

anonymous · Answer

yes it is. 4x6 = 24 would be the area of the rectangle.

anonymous · Answer

what would i do from there @kmendenhall ?

anonymous · Answer

on the rectangle created by cutting the solid and laying it flat...

anonymous · Answer

A=length times width
width would be the height of the cylinder and the length would be the circumference of the circle

anonymous · Answer

so the width is 6, but the length is the distance around the circle or the circumference which would be pi*4*4

anonymous · Answer

so width times circumference.. 6 x 16 pi = 96 pi?

anonymous · Answer

|dw:1403475791403:dw|