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Zielflug [23.3K]
3 years ago
9

What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest

cubic meter.
A. 141 m3
B. 283 m3
C. 339 m3
D. 424 m3
Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

Answer:

D. 424 m³

Step-by-step explanation:

Use the formula for the volume of a cylinder

V = \pir²h

Plug in the values we know

V = (3.14)(3²)(15)

V = 423.9 m³

This is closest to answer choice D, 424 m³

So, D is correct

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We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

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Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

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Now just find the zeros.

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So the answer is x = -2/3 and x = 2/5






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When you put yourself into someone else's shoes, you are showing:
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