2. Surface Areas of Prisms and Cylinders
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The lateral area of a right cylinder is L=2Ï€ r h, where r is the radius of the cylinder and h is the height of the cylinder.
About 263.9 square inches
A new tire rim can be modeled by the following right cylinder.
We are asked to find the lateral area of the rim and round our answer to the nearest tenth. The lateral area of a right cylinder is L=2Ï€ r h, where r is the radius of the cylinder and h is the height of the cylinder. This means that h= 6 inches. Since the diameter is 14 inches, the radius is r= 142= 7 inches. Now, let's find L!
r= 7, h= 6
Multiply
Use a calculator
Round to 1 decimal place(s)
The lateral area of the rim is about 263.9 square inches.