Question

If the cone does not overflow what percent of the cone will be filled

Answer 1

The cone is an illustration of volumes

If the cone does not overflow what percent of the cone will be filled is 80%

How to determine the percentage?

From the complete question, the given parameters are:

• Height, h = 10
• Radius, r = 2

The volume of the cone is:

V = 1/3πr²h

So, we have:

V = 1/3 * π * 2² * 10

Evaluate

V = 40π/3

The volume of the sphere is:

V = 4/3πr³

So, we have:

V = 4/3 * π * 2³

Evaluate

V = 32π/3

Divide the volume of the sphere by the volume of the cone, to determine the percentage filled

Percentage filled = 32π/3 ÷ 40π/3

Evaluate

Percentage filled = 0.8

Express as percentage

Percentage filled = 80%

Hence, the percentage filled is 80%

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