Question

find the volume of cone of height 12 cm and slant height 13 centimetre

Answer 1

h= height= 12cm
l= slant height= 13cm
r= radius = ?
l²=h² + r²
13²= 12²+r²
169=144+r²
r²=169-144=25
r=√25=5cm
Volume of cone= ⅓πr²h
=⅓×22/7×5²×12
=550/7
=78.57cm³

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