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Ursula has a cylinder and a cone that have the same height and radius. Which ratio compares the volume of the cone to the volume of the cylinder? О 1 to 3 01 to 2 O 2 to 1 O 3 to 1

Ursula Has A Cylinder And A Cone That Have The Same Height And Radius Which Ratio Compares The Volume Of The Cone To The Volume Of The Cylinder О 1 To 3 01 To 2 class=

Sagot :

Answer

The ratio of the volume of a cone to that of a cylinder is 1 to 3

Explanation

The volume of a cone is given as

Volume of a cone = ⅓πr²h

The volume of a cylinder is given as

Volume of a cylinder = πr²h

The ratio of the volume of a cone to that of a cylinder is now

Volume of a cone : Volume of a cylinder

⅓πr²h : πr²h

Divide both sides by πr²h and we have

⅓ : 1

Multiply both sides by 3 and we have

1 : 3

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