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

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