A uniform ball with a diameter of 3 cm has a mass of 108 grams. What is the mass of a ball made
| March 15, 2021 | education
A uniform ball with a diameter of 3 cm has a mass of 108 grams. What is the mass of a ball made of the same material with a diameter of 2 cm?
1). What is the volume of a uniform sphere with a diameter of 3 centimeters?
4 ∙ π ∙ (3/2) ³ / 3 = 4.5 ∙ π (cm³).
2). What is the density of the substance from which the ball is made if it has a mass of 108 grams?
108: (4.5 ∙ π) = 24 / π (g / cm³).
3). What is the volume of a homogeneous sphere with a diameter of 2 centimeters?
4 ∙ π ∙ (2/2) ³ / 3 = (4 ∙ π) / 3 (cm³).
4). What is the mass of a ball made of the same material with a diameter of 2 centimeters?
(24 / π) ∙ (4 ∙ π) / 3 = 32 (grams).
Answer: The mass of a ball made of the same material with a diameter of 2 centimeters is 32 grams.
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