Question

Mass of a spherical grape is 8.4 grams and

The volume of an object is equal to the ratio of its mass to density,
its density is 2 grams per cubic centimeter.
What is the radius of the grape? Round to the nearest tenth of a centimeter.
O 1.0 cm
O 1.5 cm
O 1.9 cm
O 21 cm

Answer 1

1.0 cm

Explanation:

Answer 2

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

`Volume = (mass)/(density)`

From given,

Mass = 8.4 grams

Density = 2 grams per cubic centimeter

Substituting in above formula,

`Volume = (8.4)/(2) = 4.2\ cm^3`

Given is a spherical grape

The formula for volume of sphere is given as:

`Volume = (4)/(3) \pi r^3`

Where, "r" is the radius of sphere

`4.2 = (4)/(3) * 3.14 * r^3\\\\4.2 = 4.187 * r^3\\\\r^3 = (4.2)/(4.187)\\\\r^3 = 1.003\\\\\text{Take cube root on both sides}\\\\r = 1.000999 \approx 1`

Thus the radius of grape is 1 cm