SOLUTION: If V = πa[R² - (R - t)²], express R in terms of π, V, t and a.

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Question 1139350: If V = πa[R² - (R - t)²], express R in terms of π, V, t and a.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If V+=+pi%2Aa%28R%5E2+-+%28R+-+t%29%5E2%29, express R in terms of π, V,+t and a.

V%2F%28pi%2Aa%29=%28R%5E2+-+%28R%5E2+-+2Rt%2Bt%5E2%29%29

V%2F%28pi%2Aa%29=cross%28R%5E2%29+-+cross%28R%5E2%29+%2B+2Rt-t%5E2

V%2F%28pi%2Aa%29=+2Rt-t%5E2

V%2F%28pi%2Aa%29%2Bt%5E2=+2tR

V%2F%282t%2Api%2Aa%29%2Bt%5E2%2F2t=+R

R=V%2F%282t%2Api%2Aa%29%2Bt%2F2