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algol [13]
3 years ago
6

Find the volume of a cone with a diameter of 12 m and a height of 5 m.

Mathematics
2 answers:
yaroslaw [1]3 years ago
7 0

Answer:

60 pi m3

Step-by-step explanation:

AnnZ [28]3 years ago
6 0

Answer:

60\pi m³

Step-by-step explanation:

Use the cone volume formula, V = \pir²\frac{h}{3}

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = \pir²\frac{h}{3}

V = \pi(6²)\frac{5}{y}

V = \pi(36)\frac{5}{3}

V = 60\pi

So, the volume of the cone is 60\pi m³

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vesna_86 [32]

Factorize the denominator:

\dfrac{x^2-4}{x^3+x^2-4x-4}=\dfrac{x^2-4}{x^2(x+1)-4(x+1)}=\dfrac{x^2-4}{(x^2-4)(x+1)}

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We're then left with

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3 years ago
Jerome bought a sweater that was on sale for 20 percent off. Jerome paid $25.10 for the sweater, including sales tax of 8.25 per
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Let the original price of the sweater be = X
Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100)
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Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome.
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This is the equation from which the actual price of the sweater bought by Jerome can be determined.
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0.866X = 25.1
X = 25.1/0.866
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So the actual price of the sweater is $28.98.
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Answer:

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