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/volumeofonetonofgold.html
Volume of one ton of gold.
http://www.dailymathproblem.com/2019/05/volumeofonetonofgold.html
What is the radius of a sphere consisting one
ton of gold?
Answers:
The volume of a sphere is V=(4/3)*pi*r^{3}
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 cm^{3}
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)pir^{3}

470004.4

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