A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm upto its brim. How many children will get the ice cream cones
a. 163
b. 263
c. 363
d. 463

Solution:

Given, a cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm up to its brim.

We have to find the number of children who can get the ice cream cones.

Volume of cube = (side)³

Volume of ice cream cube = (22)³

= 10648 cm³

Volume of cone = (1/3)πr²h

Volume of ice cream cone with radius 2 cm and height 7 cm = (1/3)(22/7)(2)²(7)

= (1/3)(22/7)(4)(7)

= 88/3

= 29.33 cm³

Number of children who can get ice cream cone = volume of ice cream cubical brick/volume of ice cream cone

= 10648/29.33

= 363

Therefore, 363 children get ice cream cones.

✦ Try This: A cubical ice cream brick of edge 30 cm is to be distributed among some children by filling ice cream cones of radius 3 cm and height 7 cm upto its brim. How many children will get the ice cream cones?

Given, ice cream brick of edge 30 cm is distributed to children by filling ice cream in cones of radius 3 cm and height 7 cm up to its brim.

We have to find the number of children who can get the ice cream cone.

Volume of ice cream cube = (side)³

= (30)³

= 27000 cm³

Volume of ice cream cone with radius 3 cm and height 6 cm = (1/3)πr²h

= (1/3)(22/7)(3)²(7)

= (1/3)(22)(9)

= 22(3)

= 66 cm³

Number of children who can get ice cream cone = volume of ice cream cube/volume of ice cream cone

= 27000/66

= 409

Therefore, 409 children get ice cream cone.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.1 Sample Problem 3

A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm upto its brim. How many children will get the ice cream cones a. 163, b. 263, c. 363, d. 463

Summary:

A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm upto its brim. 363 children will get the ice cream cones

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