find the capacity of a cone whose height is 12cm and slant height is 13cm?
Answers
Answer:
Capacity (or) Volume=0.314159 litres
Step-by-step explanation:
h=12cm ; l=13cm
Radius of base r = √ l ² − h² = √ 13 ² − 12 ² = √169-144= √25=5cm
r=5cm
Volume of cone V = 1/ 3* π r² h=1/3* π(5) ² (12)=1/3*π(25)(12)=1/3*π(300)=100πcm³
V=100πcm³
Note:--
1000cm³=1 litre
1cm³=1/1000 litre
V=100πcm³=100π/1000 litres=π/10 litres=3.14159/10 litres=0.314159 litres
V=0.314159 litres
∴Volume or Capacity=0.314159 litres
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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