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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

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Experience in math and science tutor with 3 year of experience. Having 2 year experience in Ms Excel

(1)- Given, radius of a cone, r =7cm,and Slant height, l =25cm Let the height of the cone be =h cm Since,we know that Height (h) of cone Now, Capacity of a vessel=volume of cone Volume of cone Therefore, capacity of the conical vessel = = 1.232 litres (2)Given, Height,h= 12cm,and Slant height,...
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(1)- Given,

radius of a cone, r =7cm,and

Slant height, l =25cm

Let the height of the cone be =h cm

Since,we know that 

Height (h) of cone 

 

Now,

Capacity of a vessel=volume of cone

Volume of cone

Therefore, capacity of the conical vessel

= 1.232 litres

(2)Given,

Height,h= 12cm,and

Slant height, l =13cm

Let,radius of cone = r cm

Since we know that

Radius (r) of cone 

Volume of cone 

Therefore, capacity of the conical vessel

litres

 

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POSTGRADUATE INTERNATIONAL ONLINE MATH TUTOR WITH 27 YEARS EXPERIENCE

1.233 litres and.31 litres respectively
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Tutor

1. L^2 = h^2 + r^2 L = slant height h= height r= radius 25^2 = h^2 + 7^2 h^2 = 625 - 49 = 576 after taking square root h = 24 volume of cone = L^2 = h^2 + r^2 = 1/3 * 3.14 *7^2 *...
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        1.    L^2 = h^2 + r^2              L = slant height   h= height  r= radius

            25^2 = h^2 + 7^2

            h^2 = 625 - 49 = 576

                  after taking square root

h = 24 

volume of cone =                               L^2 = h^2 + r^2

                       = 1/3 * 3.14 *7^2 * 24

                       =3692.64/3

 volume of cone  =1230 cm^3

 

1L = 1000cm^3

therefore answer is 1.230 L

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