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How much gold will be required to make 4 bangles of mean diameter 12 cm from a circular gold wire which has 3mm diameter Suppose the density of gold is 20 gram per cubic centimeter?
Wiki User
∙ 12y ago
You have given three things:
- Mean diameter = 12cm , r=6cm
- Diameter of circular gold wire = 3mm =.3cm, r=.15cm
- 20gm gold in 1 cubic centimeter
Now simply, you have a diameter of gold wire take the radius that is .15 cm and find the area of the circular wire - A=πr^2=π0.15^2=0.0706sq.cm
Now you have the diameter of the bangle that is 12cm and rad=6cm
find the circumference - c=2πr, c=2π6=37.699cm
for 4 bangles 37.699 x 4=150.79 cubic centimeter
to get volume multiply area of circular wire with circumference that is
A x C=150.79 x 0.0706=10.656cubic centimeter
Now you know 1cm^3 has 20 gm of gold
then 10.656cm^3 cube will have
20 x 10.656cm^3=213.183 grams!
Wiki User
∙ 12y ago
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