Question

Mass of a spherical grape is 8.4 grams and

Answer 1

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

$Volume = \frac{mass}{density}$

From given,

Mass = 8.4 grams

Density = 2 grams per cubic centimeter

Substituting in above formula,

$Volume = \frac{8.4}{2} = 4.2\ cm^3$

Given is a spherical grape

The formula for volume of sphere is given as:

$Volume = \frac{4}{3} \pi r^3$

Where, "r" is the radius of sphere

$4.2 = \frac{4}{3} \times 3.14 \times r^3\\\\4.2 = 4.187 \times r^3\\\\r^3 = \frac{4.2}{4.187}\\\\r^3 = 1.003\\\\\text{Take cube root on both sides}\\\\r = 1.000999 \approx 1$

Thus the radius of grape is 1 cm

Answer 2

Answer:

1.0 cm

Step-by-step explanation: