X (cm) |
Base (cm) |
Height (cm) |
Volume (cm3) |
0.5 |
1.4 |
2.8 |
1.96 |
1 |
2 |
4 |
4 |
1.5 |
2.4 |
2.9 |
5.88 |
2 |
2.8 |
5.7 |
7.98 |
2.5 |
8.2 |
6.3 |
10.1 |
3 |
3.5 |
6.9 |
12.1 |
3.5 |
3.7 |
7.5 |
13.9 |
4 |
4 |
8 |
16 |
4.5 |
4.2 |
8.5 |
17.85 |
5 |
4.5 |
8.9 |
20.03 |
5.5 |
4.7 |
9.4 |
22.09 |
6 |
4.9 |
9.8 |
24.01 |
6.5 |
5.1 |
10.2 |
26.01 |
7 |
5.3 |
10.6 |
28.09 |
7.5 |
5.5 |
11.0 |
30.25 |
8 |
5.7 |
11.3 |
32.2 |
8.5 |
5.8 |
11.7 |
33.93 |
9 |
6 |
12 |
36 |
9.5 |
6.2 |
12.3 |
38.13 |
10 |
6.3 |
12.6 |
39.69 |
10.5 |
6.5 |
13 |
42.25 |
11 |
6.6 |
13.3 |
43.89 |
11.5 |
6.8 |
13.6 |
46.24 |
12 |
6.9 |
13.9 |
47.96 |
12.5 |
7.1 |
14.1 |
50.06 |
13 |
7.2 |
14.4 |
51.84 |
13.5 |
7.4 |
14.8 |
54.39 |
14 |
7.5 |
15 |
56.25 |
14.5 |
7.6 |
15.2 |
57.76 |
15 |
7.7 |
15.5 |
59.68 |
15.5 |
7.9 |
15.7 |
62.02 |
16 |
8 |
16 |
64 |
16.5 |
8.1 |
16.2 |
65.61 |
17 |
8.2 |
16.5 |
67.65 |
17.5 |
8.4 |
16.7 |
70.14 |
18 |
8.5 |
17 |
72.25 |
18.5 |
8.6 |
17.2 |
73.96 |
19 |
8.7 |
17.4 |
73.69 |
19.5 |
8.8 |
17.7 |
77.88 |
20 |
8.9 |
17.9 |
79.66 |
|
|
N=40X=0.5cm
Sum of Volume=1639.38cm3
Area=2y(4y)=8y2
Area=8x
Volume:
4x2 (from 0 to 20.5)
4(20.5)2 – 4(0)2
1681 cm3
Percent Error:
(|Actual-Approximates/Actual) * 100%
(41.62 cm3/1681 cm3) * 100%
=2.48%
|