Question

(15)How many balls, each of radius 2 cm can be made from a solid sphere of lead of

radius 8 cm ?


please tell step by step ​

Answer 1

Step-by-step explanation:

Radius of solid sphere = 8cm Volume = 4/3T³ = 4/3 π x 8 x 8 x 8 cm³ = 4/3 T x 512

Radius of ball = 2cm

Let the number of balls be a Then, volume of 'a' balls = 4/3πr³ x a = 4/3 T x 2 x 2 x 2x a = 4/3 π x 8 xa cm³

Volume of sphere = Volume of 'a' balls 4/3 π x 8 x a = 4/3 π x 512 8a = 512 a = 64

:: 64 balls can be made.

Hope This Helps!

Answer 2

Answer:

64 balls can be made out of the solid lead sphere.

Step-by-step explanation:

Given that balls of radius 2cm are made out of a lead sphere of radius 8 cm.

This means that the  sum of volume of all balls will be equal to the volume of the sphere.

wkt, volume of sphere=$\frac{4}{3}$π×r³

Let us consider there are x balls.

Then,

Volume of Sphere= x*Volume of Ball

⇒$\frac{4}{3}$×$\frac{22}{7}$×8³=x*$\frac{4}{3}$×$\frac{22}{7}$×2³

⇒512=x*8

⇒x=64.