Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
4. Surface Area of Cylinders
Continue to next subchapter

Exercise 8 Page 623

The lateral area of a cylinder is given by the formula 2π rh, where r is the radius of the base and h the height of the cylinder.

620.8 mm^2

Practice makes perfect

We want to find the lateral area of the given cylinder.

To do so, 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.A.=2π rh In this formula, r is the radius of the base and h is the height of the cylinder. Substituting r with 7.6 and h with 13 into the formula, we can solve for L.A. Let's do it!
L.A.=2π rh
L.A.=2π( 7.6)( 13)
Simplify right-hand side
L.A.=197.6π
L.A.=620.778708...
L.A.≈ 620.8
The lateral area of the cylinder is about 620.8 mm^2.