Area circle
= π*r²
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:
<span>Volume
Cylinder = π/4* Volume Prism</span>
Volume
Cylinder = π/4 *(4r²*h)
<span>This is
also option D)</span>
<span>
</span>
<span>So option D) is correct</span>
