The complete question is
"A solid sphere is cut into 12 equal wedges. The volume of each wedge is V= 4/3πr³. Solve the formula for r."
A solid sphere is cut into 12 equal wedges. The volume of each wedge is V= 4/3πr³. The value of r is (9V/π)^1/3.
What is the volume of the sphere?
It is given that;
The Volume of a sphere = V = 4/3πr³
Dividing into 12
4/3 x 1/12 πr³ = 1/9πr³
V = 1/9πr³
Cross multiply
9V = πr³
Divide both sides by π
9V/ π = πr³/ π
9V/ π = r³
Take the cube root of both sides
r = (9V/π)^1/3
Thus, The value of r is (9V/π)^1/3.
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