what is the lateral area of a right cylinder with a radius of 4in and height of 9in?
To find the lateral area of a right cylinder, you need to know its radius and height. The formula for the lateral area of a right cylinder is:
Lateral Area = 2πrh
where π represents the mathematical constant pi (approximately 3.14159), r represents the radius of the cylinder, and h represents the height of the cylinder.
In your case, the radius is given as 4 inches and the height is given as 9 inches.
So, to find the lateral area, substitute these values into the formula:
Lateral Area = 2π(4)(9)
Now, calculate the value using a calculator or by hand:
Lateral Area = 2(3.14159)(4)(9)
Lateral Area = 226.1952 square inches
Therefore, the lateral area of the right cylinder is approximately 226.1952 square inches.