Exercise 5 Page 849

We are asked to find the lateral area and surface area of the given cylinder.

We will do these things one at a time.

Lateral Area

Let's recall the formula for the lateral area L of a right cylinder. L=2π rh Here, r is the radius of the base, and h is the height of the cylinder. Since we are given that the radius is 13yd and the height is 8 yd, we can substitute them into the formula and calculate L.

The lateral area of the solid is 208 π yd^2 that is approximately 653.5 yd^2.

Surface Area

Let's recall the formula for the surface area of a cylinder. S=L+2π r^2 In this formula, r is the radius of the base and L is the lateral area of the cylinder. Substituting r with 13 and L with 208 π into the formula, we can find the value of S. Let's do it!

The surface area of the cylinder is about 1715.3 yd^2.