An ice cream cone full of ice cream having radius 5 cm and height 10 cm as shown in the Fig.12.10. Calculate the volume of ice cream, provided that its 1/6 part is left unfilled with ice cream
Solution:
Given, an ice cream cone full of ice cream having radius 5 cm and height 10 cm
We have to calculate the volume of ice cream when 1/6 th part is left unfilled with ice cream.
Volume of hemisphere = (2/3)πr³
Given, r = 5 cm
Volume of hemisphere = (2/3)(22/7)(5)³
= (2/3)(22/7)(125)
= 261.90 cm³
Height of the cone = 10 - 5 = 5 cm
Volume of the cone = (1/3)πr²h
= (1/3)(22/7)(5)²(5)
= (1/3)(22/7)(25)(5)
= 130.95 cm³
Volume of ice cream cone = volume of hemisphere + volume of cone
= 261.90 + 130.95
= 392.85 cm³
When 1/6 th part is left unfilled with ice cream,
Volume of ice cream = 392.85/6
= 65.475 cm³
Volume of ice cream = 392.85 - 65.475
= 327.375 cm³
Therefore, the volume of ice cream is 327.375 cm³
✦ Try This: A right circular cylinder having diameter 12 cm and height 15 cm is full ice-cream. The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13
NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 9
An ice cream cone full of ice cream having radius 5 cm and height 10 cm as shown in the Fig.12.10. Calculate the volume of ice cream, provided that its 1/6 part is left unfilled with ice cream
Summary:
An ice cream cone full of ice cream having radius 5 cm and height 10 cm. The volume of ice cream, provided that its 1/6 part is left unfilled with ice cream, is 327.375 cm³
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