Question

Each of the snooker balls is a sphere of diameter 5.25 cm and the density of the material used is 1.85g/cm3. Calculate the total mass of a set of 22 snooker balls giving your answer in kilograms , correct to 1 decimal place . take pie to be 3.142.

Answer 1

Answer:

3.1 kg

Step-by-step explanation:

diameter of ball = 5.25 cm

therefore radius of ball = 5.25/2 cm

radius of ball(r) = 2.625 cm

volume of sphere = (4 /3)*pie*r^3

therefore volume of each ball = (4/3)*3.142*(2.625)^3 cm^3

volume of each ball = 75.7762 cm^3

density of each ball = 1.85 g/cm^3

density = mass/volume

therefore, mass = density*volume

mass of each ball = (1.85*75.7762) g

mass of each ball = 140.1859758 g

1 ball has mass = 140.1859758 g

therefore, 22 balls have mass = (22*140.1859758) g

hence, 22 balls have mass = 3084.091 g

1000 g = 1 kg

1 g = 1/1000 kg

therefore, 3084.091 g = 3084.091/1000 kg

therefore, 3084.091 g = 3.1 kg (in 1 decimal place)