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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 14 Page 752

Use the formula for the surface area of a cylinder.

36π cm^2

Practice makes perfect

The given solid is a cylinder.

To calculate the surface area of a cylinder, we can use the following formula. S=2π rh+2π r^2 In this formula, r is the radius of the base and h is the height of the cylinder. We are given that the diameter of the circular base is 4, therefore, the radius of the circle is 42 = 2. Substituting r with 2 and h with 7 into the formula, we can solve for S. Let's do it!

S=2π rh+2π r^2

r= 2, h= 7

S=2π( 2)( 7)+2π( 2)^2

▼

Simplify right-hand side

Calculate power

S=2π( 2)(7)+2π(4)

Multiply

S=28π+8π

Add terms

S=36π

The surface area of the cylinder is 36π cm^2.