Answer:
The surface area of the cylinder is 251.2cm²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
radius = half of diameter
r = 10/2 = 5cm
To calculate the area of the circle we use the following formula
a = area
r = radius = 5cm
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (5cm)²
a = 3.14 * 25cm²
a = 78.5cm²
The area of the circle is 78.5cm²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 3cm
r = radius = 5cm
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 5cm * 3cm
a = 6.28 * 15cm²
a = 94.2cm²
The lateral area of the cylinder is 94.2cm²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
94.2cm² + (2 * 78.5cm²) = 251.2cm²
The surface area of the cylinder is 251.2cm²
