Exercise 8 Page 872

Let's calculate the lateral area and then surface area of the given cylinder.

Lateral Area

To calculate the lateral area of a cylinder, we can use the following formula. L=2π rh In this formula, r is the radius of the base and h is the height of the cylinder. We know that the diameter d of a circle is equal to 27.5yd and is exactly twice as long as its radius. d=2r ⇒ r= d2= 27.52=13.75yd Substituting r with 13.75 and h with 30 into the formula, and simplify.

We know that lateral area is 825π or about 2591.8 yd^2.

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. Substituting L with 825π and r with 13.75 into the formula, and find S. Let's do it!

The surface area of the cylinder is about 3779.7 yd^2.