Question 338010
(a) The volume of a cone with a radius r and height h is given by v = 1/3 pr^2h. Rearrange this formula to make the subject r.


v = 1/3 pr^2h

3v = pr^2h

3v/ph = r^2

sqrt[3v/ph] = sqrt[r^2]

sqrt[3v/ph] = r

Done!

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(b) The formula S = prvr^2+h^2 gives the area of the curved surface of the cone. Rearrange this formula to make the subject h.

S = prvr^2+ h^2

S - prvr^2 = h^2

sqrt[S - prvr^2] = sqrt[h^2]

r(sqrt[S - prv]) = h

Done!