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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
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A cubical ice cream brick of edge 22 cm is to be distributed among som...
A cubical ice cream brick of edge 22 cm is to be distributed among children by filling ice cream cones of radius 2 cm and height 7 cm. Let's calculate how many children can get ice cream cones.
Step 1: Volume of the Cubical Ice Cream Brick
The volume of a cube is given by:
Volume = edge3
Here, edge = 22 cm:
Volume = 223 = 10648 cm3
The volume of a cube is given by:
Volume = edge3
Here, edge = 22 cm:
Volume = 223 = 10648 cm3
Step 2: Volume of One Ice Cream Cone
The volume of a cone is given by:
Volume = (1/3) π r2 h
Here, radius (r) = 2 cm and height (h) = 7 cm:
Volume = (1/3) π (22) (7)
Volume = (1/3) π (4) (7) = (28/3) π cm3
Using π ≈ 3.1416:
Volume ≈ (28/3) × 3.1416 ≈ 29.32 cm3
The volume of a cone is given by:
Volume = (1/3) π r2 h
Here, radius (r) = 2 cm and height (h) = 7 cm:
Volume = (1/3) π (22) (7)
Volume = (1/3) π (4) (7) = (28/3) π cm3
Using π ≈ 3.1416:
Volume ≈ (28/3) × 3.1416 ≈ 29.32 cm3
Step 3: Number of Children
The number of children who can get cones is:
Number of children = Volume of cube / Volume of one cone
Number of children = 10648 / 29.32 ≈ 363
Answer: c) 363
The number of children who can get cones is:
Number of children = Volume of cube / Volume of one cone
Number of children = 10648 / 29.32 ≈ 363
Answer: c) 363
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To find out how many children will get the ice cream cones, we need to determine the volume of the ice cream brick and the volume of each ice cream cone.
1. Volume of the ice cream brick:
The ice cream brick is in the shape of a cube, so its volume can be calculated using the formula V = s^3, where s is the length of each side.
Given that the edge of the ice cream brick is 22 cm, the volume of the ice cream brick is V = 22^3 = 10,648 cm^3.
2. Volume of each ice cream cone:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the radius of each ice cream cone is 2 cm and the height is 7 cm, the volume of each ice cream cone is V = (1/3)π(2^2)(7) = 18.67 cm^3 (approx).
3. Number of children:
To find the number of children, we need to divide the volume of the ice cream brick by the volume of each ice cream cone.
Number of children = Volume of ice cream brick / Volume of each ice cream cone
Number of children = 10,648 cm^3 / 18.67 cm^3 (approx)
Number of children = 569 (approx)
Therefore, approximately 569 children will get the ice cream cones. However, this answer does not match any of the given options. It is possible that there is a mistake in the options provided.
1. Volume of the ice cream brick:
The ice cream brick is in the shape of a cube, so its volume can be calculated using the formula V = s^3, where s is the length of each side.
Given that the edge of the ice cream brick is 22 cm, the volume of the ice cream brick is V = 22^3 = 10,648 cm^3.
2. Volume of each ice cream cone:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the radius of each ice cream cone is 2 cm and the height is 7 cm, the volume of each ice cream cone is V = (1/3)π(2^2)(7) = 18.67 cm^3 (approx).
3. Number of children:
To find the number of children, we need to divide the volume of the ice cream brick by the volume of each ice cream cone.
Number of children = Volume of ice cream brick / Volume of each ice cream cone
Number of children = 10,648 cm^3 / 18.67 cm^3 (approx)
Number of children = 569 (approx)
Therefore, approximately 569 children will get the ice cream cones. However, this answer does not match any of the given options. It is possible that there is a mistake in the options provided.
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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)163b)263c)363d)463Correct answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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)163b)263c)363d)463Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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)163b)263c)363d)463Correct answer is option 'C'. Can you explain this answer?.
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