a cylindrical container of radius 6cm and height 15cm is filled with ice cream.the whole ice cream is distributed among 10 children in equal cones having hemispherical tops . if the height of conical portion is 4 times the radius of base , then find the radius of ice cream cone.
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Radius = 6cm
Height = 15cm
Total Ice cream in Cylinder Container = Volume of Cylindrical container = πr²h = 22/7×6×6×15 =1697.14cm³.
Let, the radius of cones be R.
Then,
The height of Cones = 4R.
Radius of hemisphere Portion = R.
Height of hemispherical portion = R.
Volume of Cylindrical container = 10[Volume of Conical portion of Ice cream+ Volume of Hemispherical Portion of Ice cream].
1697.14 = [1/3πr²h + 2/3πr³]
PUT ALL VALUES.U WILL GET THE RADIUS OF ICE CREAM.
Height = 15cm
Total Ice cream in Cylinder Container = Volume of Cylindrical container = πr²h = 22/7×6×6×15 =1697.14cm³.
Let, the radius of cones be R.
Then,
The height of Cones = 4R.
Radius of hemisphere Portion = R.
Height of hemispherical portion = R.
Volume of Cylindrical container = 10[Volume of Conical portion of Ice cream+ Volume of Hemispherical Portion of Ice cream].
1697.14 = [1/3πr²h + 2/3πr³]
PUT ALL VALUES.U WILL GET THE RADIUS OF ICE CREAM.
Answered by
79
Answer:
3cm
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