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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 5 Page 716

Use the formula for the surface area of a cylinder.

377 cm^2

Practice makes perfect

We are given the following 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. Substituting r for 4 and h for 11 into the formula, we can solve for S. Let's do it!

S=2π rh+2π r^2

r= 4, h= 11

S=2π( 4)( 11)+2π( 4)^2

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Simplify right-hand side

Calculate power

S=2π(4)(11)+2π(16)

Rearrange equation

S=2(4)(11)π+2(16)π

Multiply

S=88π+32π

Add terms

S=120π

Use a calculator

S=376.991118...

Round to nearest integer

S≈ 377

The surface area of the cylinder is about 377 cm^2.