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
Answers
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
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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