The height and slant height of a conical vessel are 12 cm and 13 cm, respectively. The capacity of the vessel is: (Use $π = 3.14$)
Answer & explanation
Correct answer: option 1
We know that,
L2 = r2 + P2
volume = \(\frac{1}{3}\)πr2h
We have,
height = 12cm
slant height =13cm = L
=132 = r2 + 122
By solving further,
radius =5cm
Volume of cone =\(\frac{1}{3}\) × 3.14 × 52 × 12 = 314 = 0.314litres