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It will depend upon the radius of the base and as such will be any value between 0 cm3 and approx 403.067 cm3.

The height and radius are linked by: radius2 + height2 = slant_height2

Volume cone = 1/3π x radius2 x height

When radius is 0 cm, height is 10 cm and volume is 0 cm3

When radius is 10 cm, height is 0 cm and volume is 0 cm3

When radius is √(200/3) cm ≈ 8.165 cm and the height is √(100/3) cm ≈ 5.774 cm, the volume is at its maximum of 1/3π200/3√(100/3) cm3 ≈ 403.067cm3

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Q: What is the volume of a cone with a slant height of 10 cm?
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