Question

Determine the volume of a conical vessel having radius of the base as 5cm and its slant height as 13 cm. ( use π = 3.14)

Answer 1

slant height = √13² - 5² =12 cm
volume = 1/3$\pi$r²h
               = 1/3 x22/7 x5x5x12
                 = 3.14.28 cm³

Answer 2

Hey There !!

Given that -

Slant height , l = 13 cm

base radius , r = 5 cm

We know by Pythagoras theorem

a² +b² = c²

= l² = r² + h²

= h =√13 ² - 5²

= h = √ 169 - 25

h = √144 = 12 cm

Hence the height of that article is 12 cm

we know

volume of cone = 1/3 πrh

= 1/3× 3.14× 5× 12

= 3.14/3× 60

=62.8 cm³

hope this would help you !!