The area of the circular base of a cylinder is 367 square units. The height of the cylinder is 2 units.
What is the lateral area of the cylinder? Express the answer in terms of A.
127 square units
240 square units
O 604 square units
72 square units

Step-by-step explanation:

The formula to calculate the lateral area of a cylinder is:

where h is the height of the cylinder, and c is the circumference (perimeter) of the circular base:

where r is the radius

To calculate the circumference we need the radius of the circle, which we can calculate because we know that the area the circle is:

,

substituting this in the formula for the area of a circle:

and solving for the radius:

now that we know the radius, we calculate the circumference:

and finally we go back to the formula for the lateral area:

and substitute the height: and the circumference:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: