Deriving a Formula for Volume of a Cylinder Ty
Suppose the height of a cylinder is equal to its radius Complete the derivation of the formula for a cylinder
The cylinder can fit inside a square prism, as shown whose height is equal to its radius.
below
The cross-sectional areas are still the same and the ratio The prism's volume is the area of the base,
of the area of the circle to the area of the square is still
times the height
Since the ratio of the areas is then the volume of
the cylinder is times the volume of the prism
V = (413), or
2r

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

if i put something wrong your not gonna like it so rather not say nothing.

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees