Respuesta :
The radius of grape is 1 cm
Solution:
Given that,
The volume of an object is equal to the ratio of its mass to density
[tex]Volume = \frac{mass}{density}[/tex]
From given,
Mass = 8.4 grams
Density = 2 grams per cubic centimeter
Substituting in above formula,
[tex]Volume = \frac{8.4}{2} = 4.2\ cm^3[/tex]
Given is a spherical grape
The formula for volume of sphere is given as:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
Where, "r" is the radius of sphere
[tex]4.2 = \frac{4}{3} \times 3.14 \times r^3\\\\4.2 = 4.187 \times r^3\\\\r^3 = \frac{4.2}{4.187}\\\\r^3 = 1.003\\\\\text{Take cube root on both sides}\\\\r = 1.000999 \approx 1[/tex]
Thus the radius of grape is 1 cm
