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McGraw Hill Integrated II, 2012 View details

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Exercise 6 Page 875

Use the formula for the surface area of a cone.

Lateral Area: About 620.1 square feet
Surface Area: About 874.5 square feet

The Turkish beehive room can be modeled by the following cone with a height of h= 20 feet and a radius of r= 9 feet.

We are asked to find the surface area and the lateral area of the cone. First, by the Pythagorean Theorem we will find the slant height of the cone l.

h^2+ r^2=l^2

SubstituteII

r= 9, h= 20

20^2+ 9^2=l^2

▼

Solve for l

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400+81=l^2

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481=l^2