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3 years ago

True or False? true-false: Please select true or false and click "submit."

Mathematics

2 answers:

iragen [17]3 years ago

5 0

Im positive its false because they dont add up

erastova [34]3 years ago

5 0

Answer:

It's false my friend

Step-by-step explanation:

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The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l

liq [111]

we know that

The formula of the surface area of the cone is equal to

$SA=\pi r^{2}+\pi rl$

where

SA is the surface area

r is the radius of the cone

l is the slant height

in this problem we have

$SA=500\pi\ ft^{2}\\r=15\ ft\\l=?$

Solve the formula for l

$SA=\pi r^{2}+\pi rl\\ \\\pi rl=SA-\pi r^{2} \\ \\l=\frac{SA-\pi r^{2} }{\pi r}$

substitute the values

$l=\frac{500\pi -\pi 15^{2} }{\pi15}\\ \\l=\frac{275}{15}\ ft\\ \\l=\frac{55}{3}\ ft\\ \\l=18\frac{1}{3}\ ft$

therefore

<u>the answer is</u>

The slant height is $18\frac{1}{3}\ ft$

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Step-by-step explanation:

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