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Brilliant_brown [7]
3 years ago
6

Find the volume of a cylinder with a base area and 196pi square cm and a height equal to the diameter

Mathematics
2 answers:
tatyana61 [14]3 years ago
5 0

Given:

Base area = 196π cm²

Height of cylinder = diameter of base

To find:

Volume of cylinder

Steps:

First lets find the radius of cylinder,

Base area = πr²

        196π = πr²

          196 = r²                    (pi gets canceled)

            14 = r

Radius of cylinder is 14 cm

So, diameter of cylinder is 28 cm             (d= 2r = 2 * 14 = 28)

Therefore height of cylinder is 28 cm

Now lets find the volume of cylinder,

Volume of cylinder = Base area × height

= 196π × 28

= 5488π

= 5488 × π

= 17,241.1 cm <u>cube</u>

Therefore the volume of the cylinder is 17,241.1 cm³

Happy to help :)

If u didn't understand any topic, pls feel free to ask

photoshop1234 [79]3 years ago
3 0

Answer:

this one i dont know but ill try

a or 1 2744 cubed

Step-by-step explanation:

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