Math  /  Algebra

QuestionA small bottle weighs 20 gm when empty and 22 gm when filled with water. When it is filled with oil it weighs 21.76 gm . Then the density of the oil is (A) 0.88 g/cm30.88 \mathrm{~g} / \mathrm{cm}^{3} (B) 8.8 g/cm38.8 \mathrm{~g} / \mathrm{cm}^{3} (C) 6.8 g/cm36.8 \mathrm{~g} / \mathrm{cm}^{3} (D) 88.8 g/cm388.8 \mathrm{~g} / \mathrm{cm}^{3}

Studdy Solution
Calculate the density of the oil.
Density is defined as mass per unit volume. Thus, the density of the oil is:
Density of oil=Weight of oilVolume of bottle=1.76gm2cm3=0.88g/cm3 \text{Density of oil} = \frac{\text{Weight of oil}}{\text{Volume of bottle}} = \frac{1.76 \, \text{gm}}{2 \, \text{cm}^3} = 0.88 \, \text{g/cm}^3
The density of the oil is:
0.88g/cm3 \boxed{0.88 \, \text{g/cm}^3}

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