Answer:
Explanation:
The surface area of a cylinder can be calculated using the formula:
SA = 2πr^2 + 2πrh
where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is approximately equal to 3.14.
Looking at the given diagram, we can see that the height of the cylinder is 10 cm and the radius of the base is 6 cm.
So, substituting these values into the formula:
SA = 2π(6)^2 + 2π(6)(10)
SA = 2π(36) + 2π(60)
SA = 72π + 120π
SA = 192π
Using a calculator, we can approximate this value to:
SA ≈ 602.88 cm^2
Therefore, the surface area of the cylinder is approximately 602.88 cm^2.