Answer:
603.16
Step-by-step explanation:
Notice that the surface of a right cylinder can be formed by a rectangle that is rolled to conform a tube, and two circles (one for the top and one for the bottom). So in order to estimate its surface we need to add these.
Recall that the area of a circle of radius "r" is: [tex]\pi\,* r^2[/tex], therefore considering that the diameter of the cylinder is 16, its radius must be 8, and this formula gives:
[tex]\pi*8^2=201.06[/tex]
Now for the rectangle: the base of it is equal to the actual length of the circumference of its base, so the length of its base is: [tex]\pi*diameter=\pi*16=50.26[/tex]
and the rectangle's height is: 4
Then the rectangle's area is: 4 * 50.26 = 201.04
So now we add the two circles plus the rectangle and get:
2* 201.06 + 201.04 = 603.16
