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Fiesta28 [93]
3 years ago
7

According to Cavalieri’s Principle, if a cone and a pyramid have the same height, which of the following answer choices is true?

Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

Option (C).

Step-by-step explanation:

If a cone and a pyramid have same height,

Volume of a cone = \frac{1}{3}(\text{Area of the base})\times (\text{height}))

                              = \frac{1}{3}(A_{1})\times (h)

Volume of a pyramid = \frac{1}{3}(\text{Area of the base})\times (\text{height})

                                   = \frac{1}{3}(A_{2})(h)

As we can see if area of the bases of cone and pyramid are same, their volumes will be same.

Cavalier's Principle states, two solids having same heights and all cross sections of equal areas at the equal distances from the base, will have the same volumes.

Therefore, as per Cavalier's Principle, option (C) will be the answer.

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Answer:

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The scale on a map says that 2 inches = 150 miles. If two cities are actually 325 miles apart, how many inches apart will they b
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4 0
3 years ago
Read 2 more answers
I would love if someone could help me Thanks in advance
Montano1993 [528]
Answer: Choice A, -1540 feet

----------------------------------

Explanation:

Multiply the rate (44 ft per sec) by the number of seconds (35) to get 44*35 = 1540

The answer will be negative to indicate that the altitude has gone down. If you put in a positive change, then the altitude would go up. So that's why the answer is choice A

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Another note: if you want, think of the 44 as -44 to indicate that the plane is decreasing at a rate of 44 ft/sec

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