Answer:
S = 2πr² + 2πrh = 2πr(r + h)
Step-by-step explanation:
The formula for the surface area of a cylinder is the sum of the area of the base and the lateral faces.
Mathematically,
surface area = base area + lateral area
A cylinder has 2 base which are circular therefore, the sum of the area of the base is πr² + πr² = 2πr².
The lateral area is the curved surface area of the cylinder which is the multiplication of the height and the circumference .
curved surface area = h × circumference = 2πrh
surface area = 2πr² + 2πrh = 2πr(r + h)
S = 2πr² + 2πrh = 2πr(r + h)
The surface area can be calculated if you know the height of the cylinder and the radius. example r = 5 m and h = 10 m
Using the formula
S = 2πr² + 2πrh = 2πr(r + h)
S= 2 × π × 5(5 + 10)
S = 10π(15)
S = 150π m²
