A metallic solid sphere of radius 10.5 is melted and recasted in to smaller solid cones each of radius 3.5 cm and height 3 cm .How many cones will be made?

Explanation

To solve the problem of how many smaller cones can be made from a larger metallic solid sphere, we will follow these steps:

### Step 1: Calculate the volume of the metallic solid sphere.
The formula for the volume \( V \) of a sphere is given by:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere. Here, the radius of the sphere is given as \( 10.5 \) cm.
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