In an experiment, length = 2.54 cm, radius = 0.25 cm. The volume of the cylinder with proper significant figures is:
A$0.50\mathrm{cm}^3$
B$0.498\mathrm{cm}^3$
C$0.5\mathrm{cm}^3$
D$0.499\mathrm{cm}^3$
Answer & Solution
Correct answer: A. $0.50\mathrm{cm}^3$
Volume $V=\pi r^2h=\pi(0.25)^2(2.54)\approx 0.4987\,\text{cm}^3$. The least precise measured quantity is $0.25$, which has 2 significant figures, so the result must be reported to 2 significant figures: $0.50\,\text{cm}^3$.
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