Question

How would you combine the area of the top circle, bottom circle, and rolled-out the cylinder to make the total surface area?

Answer 1

• Area. of circle=πr^2

• LsA of cylinder=2πrh

So

$\\ \rm\Rrightarrow TSA=LSA+2(Area\:of\:baseL)$

$\\ \rm\Rrightarrow TSA=2\pi rh+2\pi r^2$

$\\ \rm\Rrightarrow TSA=2\pi r(h+r)$

Answer 2

Answer:

The total surface area of a cylinder is equal to the sum of areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

TSA = 2π × r × h + 2πr2= 2πr (h + r) Square units