1. find the latreal area of a cylinder of revolution if its altitude is 5.5 inches and the diameter of its base is 7 inches.
Lateral area = 2 pi*(radius)* height)
= 2 pi * 5.5 * 7
= ?
renaissance
To find the lateral area of a cylinder of revolution, you need to know the altitude (height) of the cylinder and the diameter of its base.
1. First, let's find the radius of the base by dividing the diameter by 2.
Radius = Diameter/2 = 7 inches / 2 = 3.5 inches.
2. Next, let's find the circumference of the base by multiplying the radius by 2π (pi).
Circumference = 2π * Radius = 2π * 3.5 inches ≈ 21.99 inches (rounded to two decimal places).
3. The lateral area of a cylinder is equal to the circumference of its base multiplied by the altitude.
Lateral Area = Circumference * Altitude = 21.99 inches * 5.5 inches ≈ 120.94 square inches (rounded to two decimal places).
Therefore, the lateral area of the given cylinder of revolution is approximately 120.94 square inches.