Maths-

General

Easy

Question

# What is the least number of solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm?

Hint:

### Volume of sphere

## The correct answer is: 5

### Explanation:

- We have given solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm
- We have to find the least number of those sphere.

Step 1 of 1:

Let the number of solid metallic sphere be n

Volume of one sphere be

Volume of metallic cone will be

Now,

n = 5

So, The least number of sphere needed to form the cone is 5.

Volume of metallic cone will be

Now,

So, The least number of sphere needed to form the cone is 5.

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