Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer:

we know that

[the lateral area of a right circular cone]=pi*r*l

where

r--------------> the radius of the circle part of the cone

l--------------> the side (slant height) of the cone

r=6 ft

h=8 ft

Step 1

find the slant height of the cone

which is determined by using Pythagoras, since the cross section is a right triangle.

l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft

Step 2

find the lateral area

[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²

the answer is 188.4 ft²

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Answer:

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Step-by-step explanation:

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<em>Additional comment</em>

My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.