#### A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. Find the number of cones thus obtained. (2005)

**Solution:**

#### A certain number of metallic cones each of radius 2 cm and height 3 cm are melted and recast in a solid sphere of radius 6 cm. Find the number of cones. (2016)

**Solution:**

**More Solutions:**

- The curved surface and the total surface of a cylinder is 1 : 2.
- A rectangular sheet of tin foil of size 30 cm x 18 cm.
- The given figure shows a metal pipe 77 cm long.
- Find the volume of the wood and that of the graphite.
- A cylindrical roller made of iron is 2 m long.
- Write whether the following statements are true or false.