Question
Mathematics Question on Volume of a Sphere
The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3 ?
Answer
Radius of the metallic ball, r = 24.2 cm = 2.1cm
The volume of the metallic ball = 34πr3
= 34 × 722 × 2.1cm × 2.1cm × 2.1cm
= 38.808 cm³
Mass = Volume × Density
Mass of the metallic ball = 38.808 cm3 × 8.9g / cm³
= 345.3912 g
= 345.39 g
Hence, the mass of the ball is 345.39 g (approximately).