This
post considers the radius of a one ton sphere of gold.
Question:
A previous problem found that a ton of gold has a volume of 47,004.4
cubic centimeters. Go here to better understand this interesting calculation.
Volume of one ton of gold.
http://www.dailymathproblem.com/2019/05/volume-of-one-ton-of-gold.html
Volume of one ton of gold.
http://www.dailymathproblem.com/2019/05/volume-of-one-ton-of-gold.html
What is the radius of a sphere consisting one
ton of gold?
Answers:
The volume of a sphere is V=(4/3)*pi*r3
Plugging in the value of the item and solving
for r we get
r=(47,0004.4
* (3/4)/pi)1/3
This reduces to 48.323 cm3
Plugging this value of r into the formula for
the volume of the sphere does in fact give us the correct volume.
"(4/3)
|
1.33333333
|
"pi
|
3.14159265
|
r
|
48.2322777
|
(4/3)pir3
|
470004.4
|
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