Question

A hemispherical bowl of internal diameter 36 cm contains liquid. This liquid is filled

into 72cylindrical bottles of diameter 6 cm. Find the height of each bottle, if 10%

liquid is wastedin this transfer​

Answer 1

Answer:

Diameter =36 cm, then radius =18 cm

Volume of hemispherical bowl =

3

2

πr

3

=

3

2

×

7

22

×(18)

3

=12219.43 cm

3

Given radius of cylinder =3 cm

Volume of cylinder =πr

2

h

Volume of 72 bottles =

7

22

×(3)

2

×h×72

10% of 12219.943=1221.943 is wasted

Remaining volume of liquid =12219.943−1221.943=10997.487 cm

3

∴72×

7

22

×3×3×h=10997.487

⇒h=

72×22×9

10997.487×7

=5.4 cm