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Answer:
The height of the tank is 0.5 yards.
Step-by-step explanation:
To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:
1 foot = 0.3333 yards
R = Diameter / 2
R = 120/2 = 60
3.14 x 60 ^ 2 x H = 1,884
3.14 x 3,600 x H = 1,884
3.14 x 1,200 x H = 1,884
3.768 x H = 1.884
H = 1,884 / 3,768
H = 0.5
Therefore, the height of the tank is 0.5 yards.
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It is a ratio problem...
2 dogs need 144 feet = 2 : 144
Simplify the ratio = 1 : 72
Multiply both sides by 8 (8 dogs) = 1*8 :144*8
Simplify the ratio = 8 : 1152
8 dogs need 1152 feet of fencing
Hope this helps!
There are 5 eggs which remained. In a fraction, the eggs which are not cracked is expressed as 5/12. Converting it to decimals, the answer is 0.4166667. Since the answer only requires 2 decimal places, the number has to be rounded off to the hundredths place. Since 6 is more than 5, the value of the hundredths place is added by 1. Hence the final answer is 0.42.