Exercise 7 Page 872

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

We will do these two things one at a time.

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. Let's substitute 8 and 6 for r and h, respectively, into the formula and simplify.

We know that lateral area is 96π or approximately 301.6 ft^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. Let's now substitute 96π and 8 for L and r, respectively, into the formula and simplify. Let's do it!

The surface area of the cylinder is about 703.7 ft^2.