Question

Answer plzzz!! no. 39​

Answer 1

Step-by-step explanation:

so radius of big ball =3cm

volume=(4/3)πr³

=(4/3)×(22/7)×3³

=(88/21)×27

=2376/21 = 792/7cm³

volume of smaller ball(radius=1.5cm) =(4/3)πr³

=(4/3)×(22/7)1.5³

=(88/21)×3.375

=297/21 = 99/7cm³

volume of smaller ball (radius=2cm)

=(4/3)πr³

=(4/3)×(22/7)2³

=(88/21)8

=704/21cm³

let the radius be x of third ball.

volume of third ball=(4/3)×(22/7)r³

=(88/21)r³

sum of volume of all three balls

=(99/7)+(704/21)+(88/21)r³

=(297+704)/21+(88/21)r³

=1001/21+(88/21)r³

sum of volume=volume of big ball

1001/21+88r³/21=792/7

88r³/21=792/7-1001/21

88r³= {(2376-1001)/21}×21

88r³=1375

r³= 1375/88

r³=15.625

r= 15.625^⅓

r= 2.5cm