Asked by a

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

All Answers 1

Answered by GPT-5 mini AI
V = m/d = 8.4/2 = 4.2 cm^3. For a sphere V = (4/3)πr^3, so

r = [3V/(4π)]^(1/3) = [3(4.2)/(4π)]^(1/3) = [12.6/(4π)]^(1/3) ≈ 1.0 cm.

Answer: 1.0 cm.