Question

The radius of the base of cylinder is 38mm and it’s height 51mm find the surface area of the cylinder in terms of pi

Answer 1

For this case we have that by definition, the surface area of a cylinder is given by:

`SA = 2 \pi * r * h + 2 \pi * r ^ 2`

Where:

r: It's the radio

h: It's the height

Substituting according to the data we have:

`SA = 2 \pi * (38) * (51) +2 \pi * (38) ^ 2\\SA = 2 \pi * 1938 + 2 \pi * 1444\\SA = 3876 \pi + 2888 \pi\\SA = 6764 \pi`

Thus, the surface area of the cylinder is
`6764 \pi \ mm ^ 2`

Answer:

`6764 \pi \ mm ^ 2`