a cylindrical container of radius 6 centimetre and height 15 cm is filled with ice cream the whole ice cream has to be distributed to 10 Children's and equal chords with hemispherical tops if the height of the conical portion is 4 times the radius of its base find the radius of the ice cream corn
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In the cylinder,
radius(r)=6cm
height(h)=15cm
In the conical portion of the ice cone,
let the base radius be 'R'
therefore, height is 4R
Volume of the cylindrical container
= πr^2h
= 22/7×6×6×15
= 1697.14cm^2
If it us divided between 10 children
then each child will get = 1697.14/10
= 169.71cm^2
=> 169.71cm^2 = volume of one ice cream cone.
=> 169.71 = 1/3πr^2h
=> 169.71 = 1/3×22/7×R×R×4R
=> 169.71×3/1×7/22 = 4×R^3
=> 161.99/4 OR 162/4 = R^3
=> 40.5 = R^3
=> third root of 40.5 = R
=> R = 3.43cm
therefore, radius(R) of each ice cream cone is 3.43cm and its height 4×R = 4×3.43=13.72cm
hope this answer helped you
please mark as brainliest pls pls
radius(r)=6cm
height(h)=15cm
In the conical portion of the ice cone,
let the base radius be 'R'
therefore, height is 4R
Volume of the cylindrical container
= πr^2h
= 22/7×6×6×15
= 1697.14cm^2
If it us divided between 10 children
then each child will get = 1697.14/10
= 169.71cm^2
=> 169.71cm^2 = volume of one ice cream cone.
=> 169.71 = 1/3πr^2h
=> 169.71 = 1/3×22/7×R×R×4R
=> 169.71×3/1×7/22 = 4×R^3
=> 161.99/4 OR 162/4 = R^3
=> 40.5 = R^3
=> third root of 40.5 = R
=> R = 3.43cm
therefore, radius(R) of each ice cream cone is 3.43cm and its height 4×R = 4×3.43=13.72cm
hope this answer helped you
please mark as brainliest pls pls
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