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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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Step-by-step explanation:

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(-1/2, 27/2)

Step-by-step explanation:

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5 0
2 years ago
A store display has 135 shoes made up of running and walking shoes. there are 1.5 times as many pairs of walking shoes as there
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the number of hours h that it takes for ice to malt varies inversely with the temperature t it takes 3hours for a piece of ice t
Reptile [31]

Answer:

Step-by-step explanation:

Formula

h = k/temp

Givens

h = 4 hours

t = 45 degrees

Solution

3 = k / 45                  Multiply both sides by 45

3*45 = k

k = 135

Problem

what happens when h = 4 hours?

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