An ice-cream pot has a right circularCylindrical shape. The radius of its base is 12cm and height is 7 cm It is completely filled with ice-cream . Ice-cream is sold in the form of
cones whose diameter of base is 4 cm and height is 3.5cm. How many ice cream cones were sold. ( π = 22/7 )
Answers
An ice-cream pot has a right circular cylindrical shape. The radius of the base is 12 cm and height is 7 cm. This pot is completely filled with ice-cream. The entire ice-cream is given to the students in the form of right circular ice-cream cones, having diameter 4 cm and height is 3.5 cm. If each student is given one cone, how many students can be. served ?
Total number of ice cream cones were sold were 648.
To find the number of ice cream cones sold, we need to first find the volume of ice cream in the cylindrical pot and then divide it by the volume of a single ice cream cone.
The volume of the cylindrical pot can be calculated using the formula V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(12)²(7) = 3,024π cubic cm.
The volume of a single ice cream cone can be calculated using the formula V = (1/3)πr²h, where r is the radius and h is the height. Substituting the given values, we get V = (1/3)π(2)²(3.5) = (14/3)π cubic cm.
Dividing the volume of ice cream in the cylindrical pot by the volume of a single ice cream cone, we get:
Number of ice cream cones sold = (3,024π)/((14/3)π) = 648
Therefore, 648 ice cream cones were sold.
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