Question

The volume of an object is equal to the ratio of its mass to density, V = StartFraction m Over d EndFraction. 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

Answer: 1.0cm

Step-by-step explanation:

Given the following :

Volume = Mass / Density

Given that:

Mass of spherical grape = 8.4g

Density = 2g/cm^3

Radius of the grape =?

Volume of grape = mass of grape / density of grape

Volume = 8.4g / 2g/cm^3

Volume = 4.2cm^3

Volume of a sphere = (4/3)πr^3

4.2 = 4/3 * 3.14 * r^3

4.2 = (12 * r^3) / 3

4.2 × 3 = (12 * r^3)

12.6 = 12r^3

r^3 = 12.6/12

r^3 = 1.05

r = 1.01639635681

r = 1.0 cm ( to the nearest tenth)