McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
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Exercise 7 Page 840

Use the formulas for the lateral area and surface area of a cylinder.

Lateral Area: 301.6 ft^2
Surface Area: 703.7 ft^2

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.
L=2π rh
L=2π( 8)( 6)
Simplify right-hand side
L=96π
L=301.592894...
L≈ 301.6
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!
S=L+2π r^2
S= 96π+2π( 8)^2
Simplify right-hand side
S=96π+2π(64)
S=96π+128π
S=224π
S=703.716754...
S≈ 703.7
The surface area of the cylinder is about 703.7 ft^2.