1: A steel rod has a diameter of 2 inches and is 7 feet long. What is its weight if one cubic foot of steel weighs 480 pounds? Be sure to work in feet since your answer must be in feet; make decimal measurements if necessary. Then multiply the volume by the weight. Round to a whole number.
75 lbs
76 lbs
73 lbs
70 lbs
2: A cistern is a cylinder with radius 3.2 feet and depth 15.4 feet. Find the capacity (volume) of this cistern to the nearest gallon. (1 cu. ft = 7.48 gal, so multiply the volume by 7.48)
4,506 gallons
3,704 gallons
3,457 gallons
3,200 gallons
3: A home storage cylindrical oil tank is 6.0 feet long and 4.0 feet in diameter. It is called a 560 gallon tank although this is not the exact capacity. What is the actual capacity of the tank given that 1 cu. ft = 7.48 gal? (Use 3 1/7 as pi)
555.3 gal.
564.2 gal
570.2 gal
557.5 gal
4: A candle is .75 inch in diameter and 6 inches long. In making 24 dozen of these candles, how many cubic inches of wax are used?
763.7 cu in
63.64 cu in
59.24 cu in
88.74 cu in
5: A pound coffee can is 5 inches in diameter and 4 inches high. What is the weight of a cubic inch of coffee if the can is filled to the top?
Find the volume in inches. Then divide 16 oz (1 pound) by the volume. Round your answer to match one of ours.
0.6 oz
0.4 oz
0.35 oz
0.2 oz
2007-01-12 01:32:56 · 3 answers · asked by heather n 1 in Science & Mathematics ➔ Mathematics
This is all simple math. Multiplication and division. Do you really not know how to do this? Or is it just laziness?
2007-01-12 01:38:31 · answer #1 · answered by DT 4 · 0⤊ 0⤋
1. The rod radius is 1/6 feet. Volume is:
V = PiR^2xH = 3.14 * 1/6^2 * 7 = 0.61 feet^3
M = 0.61 * 480 = 293 lbs
2. The volume of the cistern is
V = PiR^2H = 3.14 * 3.2^2 * 15.4 = 495.15
Capacity = 495.4 * 7.48 = 3704 gallons
3. Radius of tank is 2 feet. Volume of tank
V = Pi*R^2*H = 22/7 * 2^2 * 6 = 75.4 feet^3
Capacity = 75.4 * 7/48 = 563.99 Gallons = 564 Gallons
4. Candle volume is
V = PiR^2H = 3.14*(.75/2)^2*6 = 2.65 in^3
To make 24 dozen you need
24*12*2.65 = 763.2 in^3
5. Volume of can is
V = 3.14*(5/2)^2 * 4 = 78.5 in^3
This volume weighs one pound (16 Oz).
So one cubic inch will have a weight 78.5 time smaller
1 in^3 Weight = 16/78.5 = 0.2 Oz
2007-01-12 01:54:21 · answer #2 · answered by catarthur 6 · 0⤊ 0⤋
The volume of a cylinder should be in your textbook. Besides, each of these problems is already telling you what to multiply by.
Make sure to watch your unit conversions. I find it best to write them out beside each number and cancel out appropriate terms.
2007-01-12 01:40:18 · answer #3 · answered by wheresdean 4 · 0⤊ 0⤋