Question

the diameter of a metallic ball is 5.6.what is the mass of the balls, if the density of the metal is 18g per cm³​

Answer 1

Diameter of metallic ball =4.2cm

∴ Radius of metallic ball =2.1cm

Volume of metallic ball =  3 4​ πr  3  =  3 4×π(2.1)  3  =38.81cm  3

 

Density of metallic ball =  

Volume of metallic ball

Mass of metallic ball

​  ⟹ Mass of metallic ball =2.5g/cm  3  ×38.81cm  3

 =97.025g≈97g

Answer 2

$\huge\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Answer}}}}}}}} \\ \large\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Your~answer↓}}}}}}}}$

Given :-

Diameter of a metallic ball = 5.6 cm.

=> Radius, r = 2.8 cm

Density of the metal is 18g per cm³

To find :-

Mass of the ball

$\large\bold\red{Formula \: used :-}$

$\small\bold\red{Volume of Sphere = \frac{4}{3}\pi \: {r}^{3} }$

$\small\bold\red{mass \: = Volume of Sphere \times density}$

$\large\bold\red{Solution:- }$

$Volume \: of \: Sphere = \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times {(2.8)}^{3} \\ = 91.99$

$mass \: = density \: of \: metal \: \times Volume of Sphere \\ = 91.99 \times 18 \\ = 1655.82 \: gm \: \\ = 1.65582 \: kg$