To calculate the lateral area, we must know 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=2π rh
In this formula, r is the radius of the base and h is the height of the cylinder. In the given diagram, we can see that the radius r is equal to 1.5 inches and that the height h is equal to 4 inches. If we substitute these values in the formula, we can obtain the lateral area of the given cylinder.
The lateral area of the cylinder is about 37.7 square inches.
Surface area
To calculate the surface area of a cylinder, we can use the following formula.
S=L+2π r^2
In this formula, L is the lateral area of the cylinder and r is the radius of the base. Now, we can substitute L with 37.7 and r with 1.5 into the formula for S. Let's do it!
