If the Radius of the sphere below is 7 cm and the volume of a similar sphere is 91,952 cm3 what is the scale factor between the two figures?
+118723
\(\frac{4}{3}\pi r^3=91952\\ r^3=91952*\frac{3}{4\pi }\\ r=(91952*\frac{3}{4\pi })^{1/3} \)
(91952*(3/(4*pi)))^(1/3) = 27.99996725794595
\(r\approx 28\)
7:28
So the scale factor between the figures is 1:4
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OR
if the radius of the little one is 7 then the volume of it is 4/3*pi*7^3 = 1436.75
so the scale facor will be
\(\sqrt[3]{1436}:\sqrt[3]{91952}\\ 11.282 : 45.1357\\ 1:4 \;\;approximately\)
The answer is correct to at least 2 decimal places, probably many more than that.
