Page 186 - Calculating Agriculture Cover 20191124 STUDENT - A

15-14 Metric Measurements CH 15]

Metric Volumes (capacity)
Capacity: Liter and Milliliter (ml) are used to measure how much quantity of liquid an object
can hold. Examples include measuring the amount of juice in a juice can, amount of water of in a
water tank, or Milk in a tank. Bushels, cubic meters refer to dry volumes.

Base
Kilo Hecto Deca Deci Centi Milli
unit

Kiloliter Hectoliter Decaliter Liter Deciliter Centiliter Milliliter
(kl) (hl) (dal) (l) (dl) (cl) (ml)
1000 100 10 1 1/10 1/100 1/1000

Figure 15.6 Metric Volumes

Example A: How many cubic meters are in storage bin that is 34 feet in diameter with a depth of
18 feet?
1
1
Solution: Note: radius is / 2 x diameter, r = / 2 x 34’ = 17’

2
Bin volume = π r x ht
π r 2 ht
2
= (3.14159) (17) x 18
= 16,342.55 cu. ft. (Volume)

3
Cubic meters = cubic feet x m /cuft
3
= 16,342.55 cu. ft. x 0.03 m /cuft
3
Cubic meters = 490.28 m

Example B: (a) How many bushels (1.25 cuft/bu) of 28 percent moisture shelled corn (58# / bu )
can be stored in a bin that is 20 feet in diameter and 25 feet tall? Refer to Table 10.1.
(b) How many cubic meters are in the bin? (c) How many pounds is this bin holding?
(d) How many kilos is this bin holding? (e) How many metric tonnes is the bin
holding?

1
1
Solution: Note: radius is / 2 x diameter, r = / 2 x 20’ = 10’

2
Bin volume = π r x ht
π r 2 ht
2
= (3.14159) (10) x 25
= 7,853.98 cu. ft. (Volume)

(a) Bushels in storage = 7,853.98 cuft ÷ 1.25 cuft/bu
= 6,283.18 bushels

3
(b) Cubic meters = cubic feet x m /cuft
3
= 7,853.98 cu. ft. x 0.03 m /cuft
3
Cubic meters = 235.62 m

(c) Pounds in storage = bushels x wt. / bu
= 6,283.18 bushels x 58#/bu
= 364,424.44 #

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