Question

6.) Find the base area of a vessel, if the internal height is 25 cm and the capacity is 1 3/4
litres.
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Answer 1

Answer:

Step-by-step explanation:

Given:

(i)  Radius (r) = 7 cm

Slant height (l) = 25 cm

Let h be the height of the conical vessel.

 

Slant height (l)²= r²+h²

h = √l² – r²

h = √25²– 7² = 625- 49

h = √576

h = 24 cm

Volume of the cone = 1/3 πr²h

= (1/3 × 22/7 × 7 × 7 × 24)

= 1232 cm³

 

[1 cm³= 1/1000 L]

Capacity of the vessel = (1232/1000) L= 1.232 L

 

Capacity of the vessel =1.232 L

 

 

(ii)

Given: Height (h) = 12 cm

Slant height (l) = 13 cm

Let r be the radius of the conical vessel.

 

Slant height (l)²= r²+h²

r = √ r² - h²

r = √13²– 12²

= √169 – 144

 

r = √25

r = 5 cm

Volume of the cone = 1/3 πr²h

= (1/3 × 22/7 × 5 × 5 × 12)

= (2200/7) cm³

Capacity of the vessel = (2200/7× 1000) L

= 11/35 l

 

Capacity of the vessel =11/35 L

Answer 2

Answer:

the above answer is correct