find the capacity in litres of a conical vessel with height 12cm,slant height 13 cm
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Answered by
4
We know that:
l^2 = r^2 + h^2
Substituting l=13 cm and h=12 cm, we find radius of base to be r=5 cm.
We also know that Volume of a right circular cone is:
V=1/3 × pi × r^2 × h
V=100pi cm^3
l^2 = r^2 + h^2
Substituting l=13 cm and h=12 cm, we find radius of base to be r=5 cm.
We also know that Volume of a right circular cone is:
V=1/3 × pi × r^2 × h
V=100pi cm^3
Answered by
10
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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