Question

The dimension of ellipse are 66cm 42 cm and 21 cm it it melted and recast into the sphere of diameter 4.2 cm find the number of sphere

Answer 1

Answer:

758

Step-by-step explanation:

Number of spheres formed is 785

It is given that the dimensions of the ellipsoid are 66 cm, 42 cm, 21 cm respectively.

These are the lengths of axes of the ellipsoid. Now we know an ellipsoid of the form has the volume where a,b,c are the lengths of semi axes.

So here the semi axes are a= 33 cm , b = 21 cm , c = 10.5 cm. So the volume of the ellipsoid is cubic cm.

Now this is melted and recasted into spheres with diameter 4.2 cm or radius,r= 2.1 cm

So volume of each small spheres is cubic cm.

So number of spheres formed =    

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