Question

find the capacity in liters of a conical vessel having height 12 cm and slant height 13 cm

Answer 1

radius of base= sqrt(13×13-12×12)=5
capacity= volume= (1/3)×pi×5×5×12=314cm3=314lt of water

Answer 2

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