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2 years ago

The volume of this CONE is 175π cubic units.

Mathematics

1 answer:

yulyashka [42]2 years ago

6 0

Answer:

1649.33 units³

Step-by-step explanation:

Let the height and the radius be known as "h" and "r" respectively.

<u>Formulae(s):</u>

Volume of cylinder: πr²h
Volume of cone: πr²h/3

Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,

⇒ πr²h = 3(πr²h/3)
⇒ πr²h = πr²h (True)

<u>Determining the volume of the cylinder;</u>

⇒ Volume of cylinder = Volume of cone × 3
⇒ Volume of cylinder = 175π × 3
⇒ Volume of cylinder = 525π
⇒ Volume of cylinder = 1649.33 units³ (2 d.p)

Therefore, the volume of the cylinder is 1649.33 units³.

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