MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

Radius of grape is 1 cmStep-by-step explanation:Mass = Volume x densityMass = 8.4 gmDensity = 2.4 g/ccSubstituting 8.4 = Volume x 2.4 Volume = 3.5 cm³[tex]\texttt{Volume of sphere =}\frac{4}{3}\pi r^3[/tex]We need to find radius, rSubstituting volume value [tex]\texttt{Volume of sphere =}\frac{4}{3}\pi r^3=3.5\\\\r^3=0.836\\\\r=0.941cm=1cm[/tex]Radius of grape = 1 cm