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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 15 Page 752

Use the formulas for the surface area of a cylinder.

32.5π 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, 2π rh is the lateral area and 2π r^2 is the added area of both circular bases. We are given that r = 2.5 cm and that the lateral area is 2π rh = 20 π cm^2. Substituting these values into the formula, we can solve for S. Let's do it!

S=2π rh+2π r^2

r= 2.5, 2π rh= 20 π

S= 20+2π( 2.5)^2

▼

Simplify right-hand side

Calculate power

S=20π+2π(6.25)

Multiply

S=20π+12.5π

Add terms

S=32.5π

The surface area of the cylinder is 32.5π cm^2.