Answer:
[tex] LA = 2\pi (22.2/2)in 45 in = 3138.451 in^2[/tex]
[tex] 3138.451 in^2 *\frac{1 ft^2}{144 in^2}=21.79 ft^2 \approx 22 ft^2[/tex]
Step-by-step explanation:
Assuming the data from the picture attached. And the following optios:
A. 22
Correct. We assume that the lateral surface area of a cylinder is a rectangle, where the base of the rectangle equals the circumference of the cylinder and the height of the rectangle equals the height of the cylinder.
We need to subtract the area of the two circular bases from the formula for the surface area of a cylinder.
The lateral area of a cylinder is given by:
[tex] LA = 2\pi rh[/tex]
In the table for Tree 1, the diameter in year 13 is 22.2 inches.
[tex] LA = 2\pi (22.2/2)in 45 in = 3138.451 in^2[/tex]
And now we can convert to ft^2 like this:
[tex] 3138.451 in^2 *\frac{1 ft^2}{144 in^2}=21.79 ft^2 \approx 22 ft^2[/tex]
B. 44
False the correct option is A
C. 121
False the correct option is A
D. 261
False the correct option is A
