find the capacity in litres of a conical vessel with height 12 cm, slant height 13cm
Swetha03K:
Did they give d radius..?
1/2 of diameter= radius
But there is no diameter in the question
Ya in this question we have found the value of r^2 by a formula l^2=h^2+r^2
Answers
Answered by
6
h=12cm
l=13cm
l^2=h^2+r^2
(13)^2=(12)^2+r^2
169=144+r^2
169-144=r^2
r^2=25
Volume of cone=1/3πr^2h
=1/3×22/7×25×12
=314.28cm^3
1000cm^3=1l
Capacity in litres=0.31428l
l=13cm
l^2=h^2+r^2
(13)^2=(12)^2+r^2
169=144+r^2
169-144=r^2
r^2=25
Volume of cone=1/3πr^2h
=1/3×22/7×25×12
=314.28cm^3
1000cm^3=1l
Capacity in litres=0.31428l
Answered by
7
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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