Question

7. In figure is shown a right circular cone of height 30 cm. A small
cone is cut off from the top by a plane parallel to the base. If the
volume of the small cone is of the volume of the small cone is 1/27 of the volume of given cone, find
at what height above the base is the section made.
​

Answer 1

Answer:

Volume of a right circular cone=

3

1

πr

2

h

So, volume of the big cone=

3

1

πr

2

(30)

Volume of the small cone=

3

1

πr

2

h

Given that,

27

1

(

3

1

πr

2

(30))=

3

1

πr

2

h

⇒

27

30

=hcm

∴ The height above the base of the section made is (30−h)cm

⇒30−

27

30

⇒28.89cm

virajk29

Answer 2

Answer:

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