Question

8. For a fixed volume, the height, h cm, of a cone is inversely proportional to the square of the base radius, r сm. Cone A has a base radius of 6 cm and a height of 5 cm. The base radius of Cone B is 3 cm and the height of Cone C is 1.25 cm. If all the cones have the same volume, find (i) the height of Cone B, (ii) the base radius of Cone C. o 建 o h cm rcm​

Answer 1

V=

3

1

πr

2

h

Therefore,

V

2

V

1

=

3

1

πr

2

2

h

2

3

1

πr

1

2

h

1

⟹

V

2

V

1

=

r

2

2

h

2

r

1

2

h

1

⟹

V

2

V

1

=

1×3

9×1

⟹

V

2

V

1

=

1

3

=3:1.

Answer 2

Answer:

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