2 years ago

What's the volume of this composite fuigure.

Mathematics

1 answer:

Eddi Din [679]2 years ago

4 0

3.14(radius)squared(height)(3)
3.14(9)(8)(3)
3.14(72)(3)
3.14(216)
678.24

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Answer: 8√3

Step-by-step explanation:

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,

VW = b

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XV = 2b

Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

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$\frac{24}{\sqrt{3}}$ = b

$\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})$ = b

$\frac{24\sqrt{3}}{3}$ = b

8√3 = b

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What's the volume of this composite fuigure.​

What's the volume of this composite fuigure.