solve the formula for h
first, subtract everything on RHS that has no "h" in it:
S - 2πr^2 = 2πrh
second, divide a lone term with a h in it by everything not involving h:
(S - 2πr^2)/2πr = h
rearrange and simplify:
h = S//2πr - r
S = 2πr^2 + 2πrh
S = 2πr(r + h) ---------> factor out a GCF
S/[2πr] = r + h ---------> divide by 2πr
S/[2πr] -r = h -----------> minus r
S-2pir^2=2pi*r*h
h=[S-2pir^2]/(2pir)
You can't get H alone it is part of a term so you can only get the term alone which it already is
The problem is already solved.
h=(S - 2*pai*r^2)/(2*pai*r)
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Verified answer
first, subtract everything on RHS that has no "h" in it:
S - 2πr^2 = 2πrh
second, divide a lone term with a h in it by everything not involving h:
(S - 2πr^2)/2πr = h
rearrange and simplify:
h = S//2πr - r
S = 2πr^2 + 2πrh
S = 2πr(r + h) ---------> factor out a GCF
S/[2πr] = r + h ---------> divide by 2πr
S/[2πr] -r = h -----------> minus r
S-2pir^2=2pi*r*h
h=[S-2pir^2]/(2pir)
You can't get H alone it is part of a term so you can only get the term alone which it already is
The problem is already solved.
h=(S - 2*pai*r^2)/(2*pai*r)