A solid sphere is cut into 6 equal wedges. The volume of each wedge is V = 2992 πr3. Solve the formula for r.
Question
Solution 1
The volume V of a sphere is given by the formula V = 4/3 * πr³.
If a sphere is cut into 6 equal wedges, the volume of each wedge is 1/6 of the total volume of the sphere.
So, 1/6 * (4/3 * πr³) = 2992 πr³.
Solving this equation for r, we get:
4/3 * πr³ = 17952 πr³.
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