Question No. 15 View in : English A solid cone has a mass (9 + 0.09) g and radius of the base (3 + 0.03) cm and height (1 + 0.01) cm. The maximum percentage error in the measurement of density is Answer:
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Given : A solid cone has a mass (9 + 0.09) g and radius of the base (3 + 0.03) cm and height (1 + 0.01) cm.
To Find : maximum percentage error in the measurement of density
Solution:
Density = mass / Volume
Volume of cone = (1/3) πr²h
Density = mass / (1/3) πr²h
Δd/d = Δm/m + 2Δr/r + Δh/h
=> 100 * Δd/d = 100 *Δm/m + 2 * 100Δr/r + 100 * Δh/h
100 * Δm/m = 100 * 0.09/9 = 1 %
100Δr/r = 100 * 0.03/3 = 1 %
100 * Δh/h = 100 * 0.01/1 = 1 %
100 * Δd/d = 1 + 2 (1) + 1
=> 100 * Δd/d = 4 %
The maximum percentage error in the measurement of density is 4 %
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