Answer:
surface area = 74π
Step-by-step explanation:
The surface are of a cylinder is the sum of the area of the 2 circular base and the curved surface area.
A cylinder has 2 circular base and the curved surface region. Mathematically,
surface area = area of 2 circles + curved surface area
area of 2 circles = πr² + πr² = 2πr²
curved surface area = 2πrh
surface area = 2πr² + 2πrh
surface area = 2πr(r + h)
where
r = radius
h = height
assuming the r = 12 cm and h = 25 cm
Therefore, replacing the value in the formula
surface area = 2πr(r + h)
surface area = 2π(12 + 25)
surface area = 2π(37)
surface area = 74π
