find the capacity in litres of a conical vessel with height 12cm, slant height 13cm. answer is 11/35litres , how to do it????
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Step-by-step explanation:
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
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