A cylindrical container whose diameter is 12 cm and height is 15 cm is filled with ice- cream. Ice-cream is distributed to ten children in equal cones having hemispherical tops. If the height of conical portion is twice the diameter of its base, find the diameter of the ice-cream cone.
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Answer:
r = 3 cm
Step-by-step explanation:
Volume of ice-cream = πr²h
= π(36)15
= 540 π.
Volume of 10 ice-cream cones = 540 π
Volume of one cone ice-cream = 540/10 π
= 54 π.
But,
Volume = 2/3πr³+1/3πr²h = 54π
h= 4r
2/3πr³+1/3r²(4r)= 54
6 r³= 3(54)
⇒ r³ = 27
⇒ r = 3 cm
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i hope it will helps you friend
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