Question

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.

Answer 1

V = π ♠r^2 ♠h / 3
V = π ♠7^2 ♠7 ± 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 ± 0.02 cm