Question

A sphere of radiius 4 cm is carved from a homogeneous sphere of radiius 8 cm and mass 160g.The mass of the smaller sphere is...​

Answer 1

Answer:

Mass= density× volume

here, density is constant

now, volume of 8cm radius sphere is 4/3 ×π ×8×8×8 cm3

volume of 4cm sphere is 4/3×π×4×4×4 cm3

mass is directly proportional to volume here

if 4/3 ×π×8×8×8 volume has 160 g mass

1 volume has 160/( 4/3×π×8×8×8) mass

4/3×π×4×4×4 volume has [ 160/(4/3×π×8×8×8) ] × 4/3×π×4×4×4 mass

so 4cm radius sphere has 20 g mass