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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is Amie found the volume of the sphere.

Mathematics

2 answers:

vredina [299]3 years ago

7 0

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

Elena L [17]3 years ago

4 0

Answer:

The answer is Amie should have multiplied 54 by 2/3

Step-by-step explanation:

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