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प्रश्न
An ice cream pot has a right circular cylindrical shape. The radius of the base is 12 cm and the 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 a diameter of 4 cm and a height is 3.5 cm. If each student is given one cone, how many students can be served?
उत्तर
Cylinder:
Radius = 12 cm
Height = 7 cm
Cone:
Diameter = 4 cm
Radius = 2 cm
Height = 3.5 cm
Let there be n students.
n × Volume of cone = Volume of cylinder
`"n" xx 1/3π"r"^2"h" = π"r"^2"H"`
`"n"/3 xx 2 xx 2 xx 3.5 = 12 xx 12 xx 7`
n = `(12 xx 12 xx 3)/2`
n = 12 × 18
n = 216 students
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