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\frac{4}{3}r^{3}=\frac{h}{3}\times \left(\frac{175r}{1}\right)^{3}
Cancel out \pi on both sides.
4r^{3}=h\times \left(\frac{175r}{1}\right)^{3}
Multiply both sides of the equation by 3.
4r^{3}=h\times \left(175r\right)^{3}
Anything divided by one gives itself.
4r^{3}=h\times 175^{3}r^{3}
Expand \left(175r\right)^{3}.
4r^{3}=h\times 5359375r^{3}
Calculate 175 to the power of 3 and get 5359375.
h\times 5359375r^{3}=4r^{3}
Swap sides so that all variable terms are on the left hand side.
5359375r^{3}h=4r^{3}
The equation is in standard form.
\frac{5359375r^{3}h}{5359375r^{3}}=\frac{4r^{3}}{5359375r^{3}}
Divide both sides by 5359375r^{3}.
h=\frac{4r^{3}}{5359375r^{3}}
Dividing by 5359375r^{3} undoes the multiplication by 5359375r^{3}.
h=\frac{4}{5359375}
Divide 4r^{3} by 5359375r^{3}.