SOLUTION: The area of a circle is 3 1/7 times the square of the radius. Find weight of a circular disc of cast iron 7 ft. in diameter and 1 1/3 in. thickness.
A plate of cast iron 1 ft
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Question 1129384: The area of a circle is 3 1/7 times the square of the radius. Find weight of a circular disc of cast iron 7 ft. in diameter and 1 1/3 in. thickness.
A plate of cast iron 1 ft. square and 1 in. thickness weighs 37.5 lbs.
Attempt:
The disc is a cylinder.
Volume; pi * r*2 * height. 3.1416 * 3.5 * 3.5 * .1108333 = 4.265375 cu. ft.
Not sure how to continue.
Found 3 solutions by josgarithmetic, josmiceli, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
That given is an approximation for .
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Find weight of a circular disc of cast iron 7 ft. in diameter and 1 1/3 in. thickness.
A plate of cast iron 1 ft. square and 1 in. thickness weighs 37.5 lbs.
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, cubic inches, the circular cast iron disc
No.. Not 7 inches diameter; but "7 feet diameter".
All the rest of this was wrong:
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The described PLATE of cast iron, density:
The weight of the circular cast iron disc:
You can compute the expression how you want.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Find density of iron in pounds/cubic inch
Volume of iron plate:
in3
Density:
lbs/in3
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Find volume of circular disk
in3
in3
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[ weight ] = [ density ] x [ volume ]
pounds
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Get a 2nd opinion if needed
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The solution by tutor @josgarithmetic is not correct; he misread the given information about the weight of cast iron.
The given information is that a plate of cast iron 1 foot square and 1 inch thick weighs 37.5 pounds. Although it is unorthodox to do calculations in mixed units (square feet times inches), it is possible to do so if you pay attention to what you are doing.
The volume of the given cylindrical disk is
in units of square feet times inches.
Then, since the given information about the weight of cast iron is in those same mixed units, the weight of the disk is
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