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harkovskaia [24]
2 years ago
13

Which expression represents the volume of the cone that is startfraction pi over 4 endfraction times the volume of the pyramid t

hat it fits inside? startfraction pi over 4 endfraction(2r2h) startfraction pi over 4 endfraction(4r2h) startfraction pi over 4 endfraction(startfraction r squared h over 3 endfraction) startfraction pi over 4 endfraction(startfraction 4 r squared h over 3 endfraction)
Mathematics
2 answers:
inn [45]2 years ago
6 0

Answer:

D:  

Step-by-step explanation

eimsori [14]2 years ago
5 0

The expression of the volume of the cone that is π/4 of the volume of the pyramid, is expressed as: \mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}.

<h3>What is the Volume of a Pyramid?</h3>

Volume of a pyramid = 1/3(length)(width)(height)

Find the volume of the pyramid in the image given:

Volume of the pyramid = 1/3(2r)(2r)(h)

Volume of the pyramid = 4r²h/3

We are given that the volume of the cone is π/4 of the volume of the pyramid.

Therefore, the expression that represents the volume of the cone would be: \mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}

Learn more about the volume of a pyramid on:

brainly.com/question/2612895

#SPJ4

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write an equation to represent"three consecutive integers is 12 less than 4 times the middle integer'
Sever21 [200]

Consider that the three consecutive integers are:

least integer = n

middle integer = n + 1

greatest integer = n + 2

THe expression "three consecutive integers is 12 less than 4 times the middle integer" can be written as follow:

n + (n + 1) + (n + 2) = 4(n +1) - 12

In order to find the numbers, proceed as follow:

n + (n + 1) + (n + 2) = 4(n +1) - 12 cancel parenthesis

n + n + 1 + n + 2 = 4n + 4 - 12 simplify like terms

3n + 3 = 4n - 8 subtract 4n and 3 both sides

3n - 4n = - 8 - 3

-n = -11

n = 11

Hence, the three consecutive integers are:

n = 11

n + 1 = 12

n + 2 = 13

5 0
1 year ago
Help ! Inductive and deductive reasoning differ in which way? A) Conclusions drawn using deductive reasoning are always false, w
kykrilka [37]

Answer:

B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.

Step-by-step explanation:

Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth

8 0
3 years ago
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Please help very appreciated
Roman55 [17]

answer:

47.1mm, 21cm, 0.35m, 423mm.

explanation:

convert all to mm:

21cm = 210mm

0.35m = 350mm

7 0
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C=(b,0) therefore you'll have to add the coordinates AC and BD 
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4. Four points [ Either parabola or circle meeting each other or crossing at four distinct points]




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3 years ago
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