Question

how many spherical balls of radius 7cm can be made out of asolid cube of lead whose edge measure 66cm​

Answer 1

Answer:

Number of spherical balls = 200

Step-by-step explanation:

Given---> Side of cube is 66cm and radius of spherical balls is 7cm

To find---> How many spherical balls of radius 7 cm can be made.

Solution---> ATQ,

Side of cube = 66 Cm

We know that ,

Volume of cube = ( Side )³

= ( 66 )³

= 66 × 66 × 66 cm³

ATQ,

Radius of spherical ball = 7 Cm

We , know that volume of sphere = 4/3 π r³

= ( 4 / 3 ) × ( 22 / 7 ) ( 7 )³

= 4 × 22 × 7 × 7 × 7 / 3 × 7

= 4 × 22 × 7 × 7 / 3 cm³

Number of spherical balls

= Volume of cube / Volume of one ball

= 66× 66 × 66 / ( 4 × 22 × 7 × 7 / 3 )

= 66 × 66 × 66 × 3 / 4 × 22 × 7 × 7

= 3 × 33 × 33 × 3 / 7 × 7

= 200.02 ≈ 200 ( approximate )

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