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Katena32 [7]
2 years ago
8

Find the lateral and surface area of each cone

Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer:

\large\boxed{L.A.=153\pi\ mm^2}\\\boxed{S.A.234\pi\ mm^2}

Step-by-step explanation:

The formula of a lateral area of a cone:

L.A.=\pi rl

r - radius

l - slant height

The formula of a surface area of a cone:

S.A.=\pi r^2+\pi rl

We have r= 9mm and l = 17mm. Substitute:

L.A.=\pi(9)(17)=153\pi\ mm^2

S.A.=\pi(9^2)+153\pi=81\pi+153\pi=234\pi\ mm^2

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8% of a number is 20
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To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

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Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
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Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
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Your final answer is:

8% of 250 is 20.

I hope this helps!
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