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The volume V of a cone with a height of h and a radius of r is given by the formula
V=1/3 πr^2 h
Solve the formula for h. step by step
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Answered by
GPT-5 mini
AI
Start with the formula:
V = (1/3) π r^2 h
1. Multiply both sides by 3 to eliminate the 1/3:
3V = π r^2 h
2. Divide both sides by π r^2 to isolate h (assuming r ≠ 0):
h = 3V / (π r^2)
So h = (3V) / (π r^2).
V = (1/3) π r^2 h
1. Multiply both sides by 3 to eliminate the 1/3:
3V = π r^2 h
2. Divide both sides by π r^2 to isolate h (assuming r ≠ 0):
h = 3V / (π r^2)
So h = (3V) / (π r^2).
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