Recall that the lateral area of a right cylinder is the product of the circumference of the base and the height of the cylinder.
L.A.=2π rh
In this formula, r is the radius of the base and h is the height of the cylinder. From the diagram above we can see that the diameter of the base is 16 cm. Recall that the diameter of a circle is twice the length of the radius. With this in mind, we can find the length of the radius by substituting d=16 into the formula below.
The lateral area of the cylinder is about 1105.8 cm^2. Now, let's find the surface area!
Surface Area
To calculate the surface area of a cylinder, we can use the following formula.
S=2π rh+2π r^2
In this formula, r is the radius of the base and h is the height of the cylinder. We already found that the radius of the base is 8cm. By substituting r with 8 and h with 22 into the formula for the surface area, we can solve for S. Let's do it!
