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Nikolay [14]
3 years ago
9

If a cone is 8 feet tall and has a base circumference of 29.516 what is the volume

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

9514 1404 393

Answer:

  184.9 ft³

Step-by-step explanation:

In order to find the volume, we need to know the radius. We can find that from the circumference.

  C = 2πr

  r = C/(2π) = 29.516/(6.28319) ≈ 4.6976 . . . . feet

The volume of the cone is found using the formula ...

  V = 1/3πr²h

  V = 1/3π(4.6976 ft)²(8 ft) ≈ 58.847π ft³

  V ≈ 184.9 ft³ . . . . volume of the cone

_____

The "pi button" is used throughout. If you use 3.14 for pi, your answer may be closer to 185.0 (rounded to tenths).

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Step-by-step explanation:

Alternative optimal solution means that

there are several optimal solutions that can be used to get identical objective function value.

Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.

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Lengths of newborn girls are normally distributed with a mean of 49.2 cm and a standard deviation of 1.8 centimeters. Consider a
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3 years ago
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Answer:

  C  {2, 4, 9, 16}

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3 years ago
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Answer:

A

Step-by-step explanation:

how long is the ball in the air ?

that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?

so, that means we need to find the zero solution of h(t).

at what t is h(t) = 0 ?

when at least one of the factors is 0 :

2(-2 - 4t)(2t - 5)

we have 3 factors

2 : can never be 0.

(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).

(2t - 5) : is 0 when 2t = 5 or t = 2.5

so, A is the right answer.

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2 years ago
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