SOLUTION: (a) The volume of a cone with a radius r and height h is given by v = 1/3 pr2h. Rearrange this formula to make the subject r. (b) The formula S =prvr2+h2 gives the area of the cur

Algebra ->  Equations -> SOLUTION: (a) The volume of a cone with a radius r and height h is given by v = 1/3 pr2h. Rearrange this formula to make the subject r. (b) The formula S =prvr2+h2 gives the area of the cur      Log On


   

Question 338010: (a) The volume of a cone with a radius r and height h is given by v = 1/3 pr2h. Rearrange this formula to make the subject r.
(b) The formula S =prvr2+h2 gives the area of the curved surface of the cone. Rearrange this formula to make the subject h.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
(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!