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Digiron [165]
3 years ago
7

A cylinder and a cone have congruent bases and the same volume. What could be the height of the cylinder and the height of the c

one? A height of cylinder = 4 cm height of cone = 12 cm B height of cylinder = 12 cm height of cone = 3 cm C height of cylinder = 12 cm height of cone = 16 cm D height of cylinder = 36 cm height of cone = 12 cm
Mathematics
1 answer:
Ahat [919]3 years ago
4 0

Answer:

Step-by-step explanation:

The volume of a cylinder is expressed as

V = πr^2h

Where

π is a constant

h is the height of the cylinder

The volume of a cone is expressed as

V = 1/3πr^2h

Where

π is a constant

h is the height of the cone

If the cylinder and a cone have congruent bases and the same volume, it means that

πr^2h = 1/3πr^2h

πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes

h = h/3

It means that the height of the cone is 3 times the height of the cylinder. Therefore,

If height of cylinder = 4 cm, height of cone = 12 cm

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Answer:

Step-by-step explanation:

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