9. Use the net to find the approximate surface area of the cylinder to the nearest square meter.
5 m
9m
5m
5m
9m
Not drawn to scale
O 440 m²
O 314 m²
O 283 m2²
O 214 m²
It’s 440 m^2
The formula for the surface area of a cylinder is:
2πr² + 2πrh
Where r is the radius of the base and h is the height.
From the net of the cylinder given, we can see that the radius is 2.5 m (half of the base width of 5m) and the height is 9m.
Plugging in these values into the formula, we get:
2π(2.5)² + 2π(2.5)(9)
= 2π(6.25) + 2π(22.5)
= 12.5π + 45π
= 57.5π
≈ 180.61
Therefore, the approximate surface area of the cylinder to the nearest square meter is 181 m².
Answer: O 214 m²