Question

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

Answer 1

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

Answer 2

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