The radius of a sphere is measured to be 3.12 cm. What is the most accurate volume of the sphere you can report?
Answer (2)
The volume of a sphere with a radius of 3.12 cm is calculated using the formula V = (4/3), resulting in approximately 127.2 cm³ to three significant figures.
The volume of a sphere can be calculated using the formula V = (4/3). Given the radius r = 3.12 cm, we apply the formula to find the volume:
V = (4/3) × (3.12 cm)³ Using a calculator, you would get a precise value, but it is important to report the answer with the correct number of significant figures. The radius is given to three significant figures, so the volume should also be reported to three significant figures.
The calculation yields a volume of approximately 127.2 cm³ (to three significant figures).
The volume of a sphere with a radius of 3.12 cm is calculated using the formula V = 3 4 π r 3 . Substituting the radius into the formula results in a volume of approximately 127 cm³ when rounded to three significant figures. Therefore, the most accurate volume that can be reported is 127 cm³.
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