How do I make hh the subject; V=pi r^2 hV=πr2h?

3 Answers
Jim G.
May 7, 2018

h=V/(pir^2)h=Vπr2

Explanation:

"given "V=pir^2hgiven V=πr2h

"then to find h in terms of the other values divide both"then to find h in terms of the other values divide both
"sides by the multiplier of h"sides by the multiplier of h

"h is multiplied by "pir^2h is multiplied by πr2

"divide both sides by "pir^2divide both sides by πr2

rArrV/(pir^2)=(cancel(pir^2) h)/cancel(pir^2)

rArrh=V/(pir^2)

TK02
May 7, 2018

h=V/(pir^2)

Explanation:

V = pir^2h

V =pi.r^2.h

V/(pi.r^2)= h

V/(pir^2)= h

EZ as pi
May 7, 2018

h = V/(pir^2)

Explanation:

You have V = pi r^2 h

Notice that there are only multiplication signs between the factors:

pi xx r^2 xx color(blue)(h) = V" "larr I moved the term with h to the left side

In order to isolate color(blue)(h), you can get rid of all the other factors by dividing. Do the same on both sides.

(cancel(pi xx r^2) xx color(blue)(h))/cancel(pir^2) = V/(pir^2)

color(blue)(h) = V/(pir^2)

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