Question

Find the capacity in litres of a conical vessel with height 12cm slant height 13cm

Answer 1

Step-by-step explanation:

r=

$\sqrt{12 {}^{2} - 13 {}^{2} }$

r = 25

vol of cone = 1/3 pie r² h

=1/3 * 22/7 * r² *12

=1/3 * 22/7 * 25 *25 *12

=22/7 *25 *25*4

• = 7857.14

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