Answer:
Volume of sphere A = 2 mL
Volume of sphere B = 8 mL
The volume of sphere B is 4 times the volume of sphere A.
Explanation:
We'll begin by calculating the volume of each sphere.
Data obtained from the question include:
Sphere A:
Mass = 24 g
Density = 12 g/mL
Volume =?
Sphere B:
Mass = 24 g
Density = 3 g/mL
Volume =?
Next, we shall determine the volume of each sphere. This can be obtained as follow:
For sphere A:
Density = mass /volume
12 = 24/volume
Cross multiply
12 × volume = 24
Divide both side by 12
Volume = 24/12
Volume = 2 mL
For sphere B:
Density = mass /volume
3 = 24/volume
Cross multiply
3 × volume = 24
Divide both side by 3
Volume = 24/3
Volume = 8 mL
Summary:
Volume of sphere A = 2 mL
Volume of sphere B = 8 mL
Comparing the volume of both sphere, we have:
Va /Vb = 2/8
Va /Vb = 1/4
Cross multiply
Va × 4 = Vb
Vb = 4Va
From the above illustration,
The volume of sphere B is 4 times the volume of sphere A.
It has been concluded that the volume of sphere A has been 4 times greater than the volume of sphere B.
Density can be defined as the mass per unit volume. Density can be expressed as:
Density = [tex]\rm \dfrac{Mass}{Volume}[/tex]
Sphere A has a mass of 24 grams, and a density of 12 g/ml.
Sphere B has a mass of 24 grams and a density of 3 g/ml.
Since the spheres have the same mass, the relationship can be given as:
Density of A × Volume of A = Density of B × Volume of B
12 × Volume of A = 3 × Volume of B
4 × Volume of A = Volume of B
Thus, it has been concluded that the volume of sphere A has been 4 times greater than the volume of sphere B.
For more information about the volume, refer to the link:
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