Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
Chapter Review
Continue to next subchapter

Exercise 14 Page 752

36Ï€ 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=2Ï€ rh+2Ï€ 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=2Ï€ rh+2Ï€ r^2
S=2Ï€( 2)( 7)+2Ï€( 2)^2
â–¼
Simplify right-hand side
S=2Ï€( 2)(7)+2Ï€(4)
S=28Ï€+8Ï€
S=36Ï€

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