the density of water is 1 gram per cubic centimeter. a more dense object will sink, and a less dense object…

the density of water is 1 gram per cubic centimeter. a more dense object will sink, and a less dense object will float. will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water? the marble will because the density of the marble is about grams per cubic centimeter.

the density of water is 1 gram per cubic centimeter. a more dense object will sink, and a less dense object will float. will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water? the marble will because the density of the marble is about grams per cubic centimeter.

Answer

Explanation:

Step1: Calculate the volume of the marble

The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$. Given $r = 1.4$ cm, so $V=\frac{4}{3}\pi(1.4)^{3}=\frac{4}{3}\pi\times2.744\approx11.49$ $cm^{3}$.

Step2: Calculate the density of the marble

The density formula is $\rho=\frac{m}{V}$. Given $m = 9$ grams and $V\approx11.49$ $cm^{3}$, so $\rho=\frac{9}{11.49}\approx0.78$ g/$cm^{3}$.

Step3: Compare the density of the marble with water

Since the density of water is 1 g/$cm^{3}$ and the density of the marble is about 0.78 g/$cm^{3}$ which is less than 1 g/$cm^{3}$.

Answer:

float; 0.78