Question

5 cm
51. An ice cream cone full of ice cream having radius 5 cm and height 10
cm as shown in the fig. Calculate the volume of ice cream provided that
its 1/6 part is left unfilled with ice cream.
10 cm​

Answer 1

Answer :

• 327.4cm is the volume of ice cream cone

Given :

• An ice cream cone full of ice cream having radius 5cm and height is 10cm

To find :

• Volume of ice cream provided that it's 1/6 part is left unfilled with ice cream

Solution :

Ice cream cone is hemisphere and cone so,

Given,

• Radius of hemisphere is 5cm

As we know that,

• Volume of hemisphere = 2/3 πr³

Where , r is radius

》Volume of hemisphere = 2/3 πr³

》2/3 × 22/7 × (5)³

》5500/21

》261.90 cm³

Hence , Volume of hemisphere is 261.90cm³

Now, Volume of cone :

• Radius of cone is 5cm
• Height of cone = 10 - 5 = 5cm

As we know that,

• Volume of cone = 1/3πr²h

》Volume of cone = 1/3πr²h

》1/3 × 22/7 × (5)² × 5

》2750/21

》130.95 cm³

Hence , Volume of cone is 130.95 cm³

Now , we have to find the total Volume of ice cream cone :

》261.90 + 130.95

》392.85 cm³

Total volume of ice cream cone is 392.85cm³

And also Given that , 1/6 part is left unfilled with ice cream so,

》392.85 - 392.85 × 1/6

》392.85 - 65.475

》327.4cm³

Hence, 327.4cm is the volume of ice cream cone