Recall that the lateral area of a right cylinder is the product of the circumference of the base and the height of the cylinder. Note that the base is congruent to the top face. Therefore, their circumferences are the same.
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 17.8 m. 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=17.8 into the formula below.
The lateral area of the cylinder is about 335.5 m^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 8.9m. By substituting r with 8.9 and h with 6 into the formula for the surface area, we can solve for S. Let's do it!
