Question

An icecream cone full of icecream having radius 5 cm and height 10 cm as shown in
Fig. 1476. Calculate the volume of icecream, provided that its 1/6 part is left unfilled
with icecream
INCERT EXEMPLAR)
5 cm
Fig. 14.76​

Answer 1

Answer:

Volume of ice cream = Volume of hemisphere + Volume of cone

=

3

2

πr

3

+

3

1

πr

2

h

Radius of hemisphere = Radius of cone

Since height of hemisphere is 5 cm, then height of cone will be 10−5=5cm

∴ Volume of ice cream

=

3

2

π(5)

3

+

3

1

π(5)

2

×5

=125π=392.85

6

1

th of ice cream=

6

392.85

=65.475

Volume of required portion of ice cream =392.85−65.47=327.375cm

3

Answer 2

Volume of ice cream = Volume of hemisphere + Volume of cone

=

3

2

πr

3

+

3

1

πr

2

h

Radius of hemisphere = Radius of cone

Since height of hemisphere is 5 cm, then height of cone will be 10−5=5cm

∴ Volume of ice cream

=

3

2

π(5)

3

+

3

1

π(5)

2

×5

=125π=392.85

6

1

th of ice cream=

6

392.85

=65.475

Volume of required portion of ice cream =392.85−65.47=327.375cm

327.375cm answer

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