Acylinder fits inside a square prism as shown. for every cross section, the ratio of the area of the circle to the area of the square is or nr^2 or n/4. since the area of the circle is n/4 the area of the square, the volume of the cylinder equals
a) pi/2 the volume of the prism or pi/2(2r)(h) or pi*r*h
b) pi/2 the volume of the prism or pi/2 (4r^2)(h) or 2*pi*r*h.
c) pi/4 the volume of the prism or pi/4(2r)(h) or pi/4*r^2*h.
d) pi/4 the volume of the prism or pi/4(4r^2)(h) or pi*r^2*h

Area square = l²

The side of the square is equal to the diameter of the circle

Area square = D²

A diameter is always twice the radius

Area square = (2r)² = 2²r² = 4r²

So this is the rate:

Area circle/Area square = (π*r²)/(4r²)

Area circle/Area square = π/4

Volume is always Area*h when cross sectional area is a constant

Volume Prism = Area Square*h 

Volume Prism =  4r²*h

Volume Cylinder = Area Circle*h

Volume Cylinder = π*r²*h

So far this is option D)

Let’s calculate the rate:

Volume Cylinder/Volume Prism = π*r²*h/4r²*h

Volume Cylinder/Volume Prism = π/4

Volume Cylinder = π/4* Volume Prism

This is also option D)

Now let’s calculate Volume Cylinder from that formula:

Volume Cylinder = π/4* Volume Prism

Volume Cylinder = π/4 *(4r²*h)

This is also option D)

So option D) is correct

D. StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(4r2)(h) or Pir2h.

Explanation:

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"menstrual cycle is a complex cycle that consists of several processes. order of occurrence of steps in menstrual cycle are as follows:

1. high progesterone levels maintain the endometrium lining of the uterus.

2. endometrium lining breaks down and low levels of estrogen stimulate the pituitary to release fsh and lh.

3. fsh and lh stimulates the follicles to develop and the oocyte to produce estrogen.

4. rising estrogen levels suppress fsh production and development of other follicles.

5. a spike in lh causes follicle to rupture.

6. a breakdown of corpus luteum causes progesterone level to drop."

1. the energy lost to disorder metabolism     -entropy

2. related to or possessing motion potential     -kinetic

3. all of the chemical reactions in an organism required for maintenance of the processes of life entropy     -metabolism

4. possible; ability to go into action or perform work kinetic     -potential

5. the study of energy and its transformations thermodynamics     -thermodynamics