The volume of an object is equal to the ratio of its mass to density, cap v is equal to m over d The mass of a spherical grape is 8 point 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.
Answer
A
2 point 1 cm
B
1 point 9 cm
C
1 point 5 cm
D
1 point 0 cm
Explanation
First find the grape’s volume: V = m/d = 8.4/2 = 4.2 cm³. For a sphere, V = (4/3)πr³, so r = ∛(3V/(4π)) = ∛(12.6/(4π)) ≈ 1.0 cm. The correct choice is 1.0 cm.
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