# 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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