Question

how many balls each of radius 1cm can be made froma solid sphere of radius 8cm with explanation

Answer 1

Answer:The no of ball are 512

Step-by-step explanation:

Radius of sphere = 8cm.

Vol of sphere = 4/3*pi*r*r*r.

Radius of ball = 1cm.

Vol of ball = 4/3*pi*r*r*r.

Let no of balls = n.

Vol of sphere = n*(Vol of ball)

4/3*pi*r*r*r = n*4/3*pi*r*r*r

8*8*8 = n*1*1*1

n = 512.

Therefore no of balls are 512.

Answer 2

No of balls=

Volume of SPHERE / Volumeof sphere

4/3 pi (r1)3 / 4/3 pi (r2)3

[4/3 pi gets cancelled]

(r1)3 / (r2)3

r1 × r1 × r1 / r2 × r2 × r2

8×8×8 / 1×1×1

512 balls