Acone fits inside a square pyramid as shown. for every cross section, the ratio of the area of the circle to the area of the square is startfraction pi r squared over 4 r squared endfraction or startfraction pi over 4 endfraction.

a cone is inside of a pyramid with a square base. the cone has a height of h and a radius of r. the pyramid has a base length of 2 r.

since the area of the circle is startfraction pi over 4 endfraction the area of the square, the volume of the cone equals

a. startfraction pi over 4 endfraction the volume of the pyramid or startfraction pi over 4 endfractionstartfraction pi over 4 endfraction (startfraction (2 r) (h) over 3 endfraction) or one-sixthπrh.

b. startfraction pi over 4 endfraction the volume of the pyramid or startfraction pi over 4 endfractionstartfraction pi over 4 endfraction (startfraction (2 r) squared (h) over 3 endfraction) or one-thirdπr2h.

c. startfraction pi over 2 endfraction the volume of the pyramid or startfraction pi over 2 endfraction or two-thirdsπr2h.

d. startfraction pi over 2 endfraction the volume of the pyramid or startfraction pi over 4 endfraction or one-thirdπr2h.

Option B

Step-by-step explanation:

we know that

The volume of the cone is equal to

where

Bc is the area of the circle of the base of the cone

The volume of the square pyramid is equal to

where

Bp is the area of the square base of the pyramid

we know that

substitute in the formula of volume of the cone

Remember that

substitute

----> StartFraction pi Over 4 EndFraction the volume of the pyramid

or

----> StartFraction pi Over 4 EndFraction (StartFraction (2 r) squared (h) Over 3 EndFraction)

or

----> One-thirdπr^2h

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.