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Find the volume of a cylinder with a base area of 25 pi in^2 And height equal to the radius. Give your answer both in terms of pi and rounded to the nearest tenth

Respuesta :

joseaaronlara

Answer:

The answer to your question is    Volume = 125 π in³

Step-by-step explanation:

Data

Volume = ?

Base area = 25π in²

height = radius

Process

1.- Find the radius

   Area of the base = πr²

-Equal

               πr² = 25π

-Solve for r

                r² = 25π/π

-Simplify

                r² = 25

-Result

                r = 5 in

2.- Find the volume of the cylinder

     Volume = πr²h

-Substitution

                   = (25π)(5)

-Simplification

     Volume = 125 π in³

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