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03:51:13
A cylinder 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
Since the area of the circle is the area of the
square, the volume of the cylinder equals
Cross section
of the volume of the prism or (2)(h) or an.
o the volume of the prism or
(4/2)(n) or 2.7m.
o the volume of the prism or (2016) or Erzh.
the volume of the prism or (4:21() or a72).
H
2-
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WE need to see the cylinder of the pic so we cant answer if we dont see the cylinder.

Step-by-step explanation:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

d

step-by-step explanation: