Volume Project

Equation:  |X| + |Y| = 1

X value

S(side)=2 (1 - |x|)

A(area)= S2*(3)1/2/4

V(volume)=A(.05)

-.7

.6

.1558

.0077

-.65

.7

.2121

.0106

-.6

.8

.2771

.0139

-.55

.9

.3507

.0175

-.5

1

.4330

.0217

-.45

1.1

.5239

.0262

-.4

1.2

.6235

.0312

-.35

1.3

.7317

.0366

-.3

1.4

.8487

.0424

-.25

1.5

.9742

.0487

-.2

1.6

1.1085

.0554

-.15

1.7

1.2514

.0626

-.1

1.8

1.4029

.0701

-.05

1.9

1.5631

.0782

0

2

1.7320

.0866

0

2

1.7320

.0866

.05

1.9

1.5631

.0782

.1

1.8

1.4029

.0701

.15

1.7

1.2514

.0626

.2

1.6

1.1085

.0554

.25

1.5

.9742

.0487

.3

1.4

.8487

.0424

.35

1.3

.7317

.0366

.4

1.2

.6235

.0312

.45

1.1

.5239

.0262

.5

1

.4330

.0217

.55

.9

.3507

.0175

.6

.8

.2771

.0139

.65

.7

.2121

.0106

.7

.6

.1558

.0077

Cumulative volume =1.2188

 

 

 

Calculations:

Percent Error

|Observed- Expected | * 100%

Expected

| 1.2188 – 1.12352 | / 1.12352   *  100%     = 8.48049% error