The cylinder shown has a lateral surface area of about 60sq in. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi

3.2 inch

Step-by-step explanation:

We have the following data:

Al (lateral surface area) = 80 in²

R (ratio) = 4 in

h (height) = ? (in inches)

Adopt : π ≈ 3.14

We apply the data to the formula, we have:

We have the following data:

Al (lateral surface area) = 80 in²

R (ratio) = 4 in

h (height) = ? (in inches)

Adopt : π ≈ 3.14

We apply the data to the formula, we have:

≈ 3.2 inches

≈ 3.2 inches

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: