Question

A solid sphere made up of metal of radius 10.5cm is melted and recast into cones of smaller size each of radius 3.5cm and height and 3cm how many such cones can be made from the sphere​

Answer 1

Given, the radius of the sphere= 10.5cm.

and we know that the volume of a sphere = 4/3πr^3 (cu. units).

therefore, the volume of the sphere= 4/3×22/7×(10.5)^3 cm^3

=88/21×1157.625 cm^3

4851 cm^3.

Now, the given radius of the cone= 3.5cm, and height= 3 cm.

Therefore, volume of the one cone= 1/3πr^2h

=1/3×22/7×(3.5)^2×3 cm^3

=22/21×12.25×3 cm^3

=22/7×12.25 cm^3

=38.5 cm^3.

Now, the number of cones made by the sphere= volume of sphere/volume of cone.

No. of cones= 4851/38.5= 126.

hence, the number of cones= 126.

Answer 2

Answer:

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