Answer:
c. 678 cm²
Step-by-step explanation:
We are given that:
The base of a cylinder has a radius of 9 centimeters.
The cylinder is 12 centimeters tall.
Radius(r)=9 cm
Height(h)=12 cm
We have to find the approximate lateral area of the cylinder.
Lateral area of cylinder= 2πrh
= 2×3.14×9×12
= 678.24 cm²
≈ 678 cm²
Hence, the correct option is:
c. 678 cm²
The lateral area of the cylinder which has a radius of 9 centimetres and height of 12 centimetres is 678 cm².
Lateral area of a cylinder is the sum of the area of each face (triangular). In the lateral area of the cylinder, the base is area does not consider.
To find the lateral area of cylinder, the following formula can be used.
[tex]A=2\pi rh[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
Thus, the radius and height of the cylinder are,
[tex]r=9\text{ cm}\\h=12\text{ cm}[/tex]
Put the values in the above formula of lateral area of the cylinder as,
[tex]A_l=2\pi (9)(12)\\A_l\approx 678\rm\; cm^2[/tex]
Thus, the lateral area of the cylinder which has a radius of 9 centimetres and height of 12 centimetres is 678 cm².
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