A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must have a density that is less than 1 gram per milliliter (the density of water). The approved design has a mass of 115 grams and a density of 0.600 g/mL. Use the density formula d = m v to determine the radius of the ball to the nearest hundredth of a centimeter. Volume of a sphere = 4 3 π r 3

Question

Mathematics

Izabella Herring

12 July, 22:18

A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must have a density that is less than 1 gram per milliliter (the density of water). The approved design has a mass of 115 grams and a density of 0.600 g/mL. Use the density formula d = m v to determine the radius of the ball to the nearest hundredth of a centimeter. Volume of a sphere = 4 3 π r 3

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Maximo Trevino · Answer 1

3.576 cm

Step-by-step explanation:

radius of ball, r=?

Given:

Density, p = 0.600g/mL

mass, m = 115g

finding volume, v of ball by using formula p=m/v

v = m/p

= 115/0.600

=191.666 mL^3

=191.666 cm^3

Now using formula v = (4/3) πr^3 to find radius, r of the ball

r^3 = 3v/4π

= 3 (191.666) / 4π

=45.75 cm

r = 3.5767 cm!