The volume of a cone is given by v = πr2h/3, where r is the radius of the base and h is the height. assume the radius is 7 cm, measured with negligible uncertainty, and the height is h = 7 ± 0.02 cm. estimate the volume of the cone, and find the uncertainty in the estimate. note: when doing calculations, use pi = 3.1416.

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Mathematics

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25 November, 04:54

The volume of a cone is given by v = πr2h/3, where r is the radius of the base and h is the height. assume the radius is 7 cm, measured with negligible uncertainty, and the height is h = 7 ± 0.02 cm. estimate the volume of the cone, and find the uncertainty in the estimate. note: when doing calculations, use pi = 3.1416.

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Melina Moody · Answer 1

V = Ď€ â™ r^2 â™ h / 3

V = Ď€ â™ 7^2 â™ 7 Â± 0.02 / 3

V = 3.1416 â™ 7^2 â™ 7 - 0.02 / 3 or 3.1416 â™ 7^2 â™ 7 + 0.02 / 3

V = 358.16 or 360.21 cm^3 considering 7 Â± 0.02 cm