Question

total surface area of cylinder is 250 CM square and height of cylinder is 7 cm find radius
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Answer 1

Answer:

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.

Step-by-step explanation:

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