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katrin2010 [14]
2 years ago
13

In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Mathematics
1 answer:
a_sh-v [17]2 years ago
7 0
In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

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Answer:

V_{cone} =65.94\: cm^3

Step-by-step explanation:

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  • Formula for Volume of cone is given as:

  • V_{cone} = \frac{1}{3}\pi r^2h

  • Plugging the values of h and r in the above formula, we find:

  • V_{cone} = \frac{1}{3}(3.14) (3)^2(7)

  • \implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)

  • \implies V_{cone} = (3.14) (3)(7)

  • \implies V_{cone} =65.94\: cm^3
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