The volume^m of a right circular cylinder is 250πcm³ . if the hight of the cylinder is equal to the diameter of its base , then find its height .
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We we can start with the formula for the volume of a [right circular] cylinder:
V=πr2h
You then have two algebraic paths to choose from:
Solve that literal equation for h and then plug in known values, or
Plug in known values and then solve the algebraic equation for h.
Let's go with option 1:
V=πr2h⟹Vπr2=h
⟹h=250 cm3π(7.5 cm)2=409π cm ≈ 1.4147 cm (which, by coincidence, is very close to 2–√ .)
It's always a good idea to go back and check your answer; π(7.5)2⋅1.4147≈249.998 , so that seems pretty good.
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See this .
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