When a substance has a density that is less than the density of water, it floats. A wooden sphere has a radius of 4 centimeters and a mass of 250 grams. Will the wooden sphere float? Use the fact that the density of water is 1 gram per cubic centimeter. Round answers to the nearest hundredth.
A) The density of the wooden sphere is 0.93 grams per cubic centimeter, which is less than the density of water, so it will not float.
B) The density of the wooden sphere is 1.24 grams per cubic centimeter, which is greater than the density of water, so it will not float.
C) The density of the wooden sphere is 0.93 grams per cubic centimeter, which is less than the density of water, so it will float.
D)The density of the wooden sphere is 1.24 grams per cubic centimeter, which is greater than the density of water, so it will float.
The density of the wooden sphere can be calculated using the formula: density = mass/volume.
First, we need to calculate the volume of the wooden sphere.
The formula for the volume of a sphere is: volume = (4/3) * π * radius^3.
Substituting the given values:
volume = (4/3) * π * 4^3 = (4/3) * π * 64 = 268.08 cm^3.
Next, we can calculate the density:
density = mass/volume = 250/268.08 ≈ 0.93 grams per cubic centimeter.
Comparing the density of the wooden sphere (0.93 grams per cubic centimeter) to the density of water (1 gram per cubic centimeter), we find that the density of the wooden sphere is less than the density of water.
Therefore, the wooden sphere will float.
The correct answer is: C) The density of the wooden sphere is 0.93 grams per cubic centimeter, which is less than the density of water, so it will float.