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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

User Gottfried
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2 Answers

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density=mass/volume and the volume of a sphere is (4πr^3)/3 so

2=8.4(3)/(4πr^3)

8πr^3=25.2

r^3=25.2/(8π)

r^3=3.15/π

r=(3.15/π)^(1/3) cm

r≈1.00089

r≈1 cm

User Prakash Dahal
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6.7k points
3 votes
density=mass/volume and the volume of a sphere is (4πr^3)/3 so

2=8.4(3)/(4πr^3)

8πr^3=25.2

r^3=25.2/(8π)

r^3=3.15/π

r=(3.15/π)^(1/3) cm

r≈1.00089

r≈1 cm
User Deepakg
by
6.7k points