A sphereof radius 12 cm is melted and cons of radius 3 cm and height 4 cm are formed. How many such cones can be formed ?
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102 cones can be formed by 1 sphere
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pandeysakshi2003:
sorry 192 cones
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First Find the volume of Cone and Sphere
Volume of Sphere=4/3 π r^3
Given:Radius of Sphere is 12cm
So, replacing the value of Radius we got:
4/3×π×12×12×12=2304π..(1)
Now, Volume of Cone is =1/3 π×r^2 ×h
Radius of Cone=3cm
Height =4cm
Replacing the value we got=1/3×π ×3×3×4
=12π
No, total nos. of Cone is =
=2304×π/12π
=192Cones
Volume of Sphere=4/3 π r^3
Given:Radius of Sphere is 12cm
So, replacing the value of Radius we got:
4/3×π×12×12×12=2304π..(1)
Now, Volume of Cone is =1/3 π×r^2 ×h
Radius of Cone=3cm
Height =4cm
Replacing the value we got=1/3×π ×3×3×4
=12π
No, total nos. of Cone is =
=2304×π/12π
=192Cones
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