In the derivation of the formula for the volume of a cone,
the volume of the cone is calculated to be times the
volume of the pyramid that it fits inside.

Which statement best describes where the comes
from in the formula derivation?

A It is the ratio of the area of the square to the area of
the circle from a cross section.

B It is the ratio of the area of the circle to the area of
the square from a cross section.

C It is the difference of the area of the square and the
area of the circle from a cross section.

D It is the sum of the area of the square and the area
of the circle from a cross section.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

the correct answer is a.) bc< mn 5 stars if this you : )

step-by-step explanation:

yes they are the same