Question

what is the formula for calculating the total surface area of a cylindergiven by

Answer 1

Answer:

Total surface area of a right circular cylinder is given by 2$\pi$r×(r+h) where r and h denotes its radius and height respectively.

Step-by-step explanation:

Total surface area of a cylinder is the sum of its curved surface area, that is, the area of the curved side of the cylinder and the area of its circular faces at both ends.

The curved surface area (CSA) can be calculated by multiplying the perimeter of the circular face by its height. That is,

CSA = $2\pi r\times h$ = $2\pi rh$

Area of each circular faces = $\pi r^{2}$

Therefore the total surface area (TSA) can be calculated as:

TSA = $\pi r^{2} + \pi r^{2} +2\pi rh$

       = $2\pi r^{2} +2\pi rh$

       = $2\pi r(r+h)$.

That is the formula for calculating the total surface area of a right circular cylinder is $2\pi r(r+h)$.