Question

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.

What is the radius of the grape? Round to the nearest tenth of a centimeter.

1.0 cm
1.5 cm
1.9 cm
2.1 cm

Answer 1

Hi Olyvia, and welcome to QuestionCove.
Let's take this problem step-by-step. We know the density of the grape is 2 grams per cubic centimeter. We also know the mass of the grape is 8.4 grams.
With this information, we can find the volume of the grape by dividing the mass by the density.
If you do the math, you should find that the volume of the grape is 4.2 cubic centimeters

Answer 2

Next, you can use the equation for the volume of a sphere
\[\frac{ 4 }{ 3 }\pi r ^{3}\]
Set the equation equal to the volume, 4.2,
and solve for r