Question

A right circular cine of height 81 cm and radius of base 16cm is mealted and recast onto a righ circular clinder of height 48 cm find the radius of base of the clinder​

Answer 1

Answer:

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Answer 2

Answer:

We have.

r= radius of the base of the cone=2.1cm

h= height of the cone=8.4cm

Volume of the cone =

3

1

πr

2

h=

3

1

×π×(2.1)

2

×8.4cm

3

Let R cm be the radius of the sphere obtained by recasting the melted cone.

Then volume of the sphere =

3

4

πR

3

Since the volume of the material in the form of cone and sphere remains the same

∴

3

4

πR

3

=

3

1

×π×(2.1)

2

×(8.4)

⇒R

3

=

4

(2.1)

2

×8.4

=(2.1)

3

⇒R=2.1cm