Question

What is the answer of this question Maths?

Answer 1

Height of the conical mould is 7 cm

Given :-

• The diameter of a spherical canon ball is 14 cm

• It is melted and recast into a right circular conical mould .

• The base of the diameter of the cone is 28 cm

To find :-

• Height of the cone

Solution :-

Given that

The diameter of a spherical canon ball (d) = 14 cm

The radius of the spherical canon ball

= diameter/2

= 14/2

= 7 cm

Radius of the ball = 7 cm

The diameter of the conical mould

= 28 cm

Radius of the cone = 28/2 = 14 cm

Radius of the cone = 14 cm

Let the height of the conical mould be

h cm

Given that

The spherical canon ball is melted and recast into a right circular conical mould .

We know that

If a solid is converted into another solid then the volumes of the two solids are same.

So,

Volume of the sphere = Volume of the cone

We know that

Volume of a sphere = (4/3)πr³ cubic units

Volume of the spherical canon ball

= (4/3)π×7³ cm³ -------(1)

Volume of a cone = (1/3)πr²h cubic units

Volume of the conical mould

= (1/3)π×14²×h cm³ ------(2)

Now,

=> (1) = (2)

=> (1/3)π×14²×h = (4/3)π×7³

On cancelling π/3 both sides then

=> 14²×h = 4×7³

=> 14×14×h = 4×7×7×7

=> 196×h = 1372

=> h = 1372/196

=> h = 7 cm

Therefore, h = 7 cm

Answer :-

The height of the conical mould is 7 cm

Used formulae:-

• Volume of a sphere = (4/3)πr³ cubic units

• Volume of a cone = (1/3)πr²h cubic units

• r = radius
• h = height
• π = 22/7

Used Concept :-

• If a solid is melted and recast into another solid then the volume of the first solid and the volume of the resultant solid remains same.

Answer 2

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Height of the conical mould is 7 cm

Given >

The diameter of a spherical canon bell is

14 cm

it is melted and recast into a right

circular conical mould

The bese of the cemeter of the cone is

28 cm

To find :

-Height of the cone

Solution :

Given that

The diameter of a spherical canon bell (d) -14 cm

The radius of the spherical canon ball

-14/2

-7 cm

Radius of the ball - 7 cm

The diameter of the comcel mould

= 28 cm

Radius of the cone=28/2=14 cm

Radius of the cone=14 cm

Let the height of the conical mould be

hcm

Given that

The spherical canon balls melted and

recast into a right circular conical mould. We know that

If a solid is converted into another solid

then the volumes of the two solids are

Volume of the sphere Volume of the

cone

We know that

Volume of a sphere -(4/3)* cubic

units

Volume of the spherical canon bell

-(4/3)n-7² cm²(1)

Volume of a cone = (1/3)mr³h cubic units

Volume of the conical mould

-(1/3-14h cm (2)

Now,

On cancelling n3 both sides then

14-14-h 47-27

196-h=1372

h-1372/196

Therefore, h - 7 cm

Answer:

The height of the conical mould is 7 cm

Used formulae: - Volume of a sphere -(4/3)m² cubic

units

Volume of a cone - (1/3)mr³h cubic units

-h-height

• n=22/7

Used Concept :

If a solid is melted and recast into another solid then the volume of the first solid and the volume of the

resultant solid remains same.