Question

Find the capacity in litres of a conical vessel with (i) radius 7 cm, slant height 25 cm (ii) height 12 cm, slant height 13 cm​

Answer 1

Step-by-step explanation:

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Class 9

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>>Surface Areas and Volumes

>>Volume of Cube, Cuboid and Cylinder

>>Find the capacity in litres of a conical

Question

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Find the capacity in litres of a conical vessel with

(i) radius 7 cm, slant height 25 cm.

(ii) height 12 cm, slant height 13 cm.

Medium

Solution

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Given:

(i) r=7, h=25cm

⇒h=

l

2

−r

2

⇒

25

2

−7

2

=

576

⇒h=24

⇒V=

3

1

πr

2

h=

3

1

×

7

22

×7×24

⇒154×8=1232cm

3

⇒1.232 litres

(ii) h=12cm, l=13cm

⇒r=

l

2

−h

2

⇒

13

2

−12

2

=

25

=5

⇒Volume =

3

1

πr

2

h=

3

1

×

7

22

×5×5×12

⇒

7

2200

cm

3

=

7×1000

2200

litres

⇒

35

11

litres