Question

how many balls each of radius 1 cm can be a solid sphere to lead of radius 8 cm.​

Answer 1

$\huge\underline\blue{\sf Answer:}$

Total 512 balls of each of radius 1cm can be a solid sphere to lead of radius 8cm

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Radius of each ball (r) = 1 cm

• Radius of solid sphere to lead of radius (R) = 8cm

$\large\underline\pink{\sf To\:Find: }$

• Number of ball can be a solid sphere to lead of radius 8cm (N)= ?

━━━━━━━━━━━━━━━━━━━━━━━━━━

We know that

$\large{\boxed{\sf Volume\:of\:sphere(V)=\frac{4}{3}πr^3}}$

$\implies{\sf N=\frac{Volume\:of\:solid\:sphere}{Volume\:of\:balls}}$

$\large\implies{\sf N=\frac{\frac{4}{3}πR^3}{\frac{4}{3}πr^3} }$

$\large\implies{\sf N=\frac{R^3}{r^3} }$

$\large\implies{\sf N=\frac{8^3}{1^3}}$

$\large\implies{\sf N=8×8×8 }$

$\large\implies{\sf N=512}$

Hence ,

Total 512 balls of each of radius 1cm can be a solid sphere to lead of radius 8cm

Answer 2

Step-by-step explanation:

hey tannu, I m Shruti, how are uh? do uh remember me siso???