Question

Find the volume of a cone whose slant height(l) is 4cm and diameter of its base is 7cm. Take π = [22/7]. ( That who give correct and good answer i will mark him as a brainliest. )

Answer 1

Hi,

Dimensions of the cone,

Slant height ( l ) = 4 cm

Diameter of the base ( d ) = 7 cm

Radius of the base ( r ) = d/2 = 7/2 cm

Height ( h ) = √ l² - r²

= √ 4² - ( 7/2 )²

= √ 16 - 49/4

= √( 64 - 49 ) /4

= √15/4

= √15/2

Volume = ( π r² h ) /3

= ( 22/7 )( 7/2 ) (7/2 ) × ( √15 )/2 × 1/3

= ( 11 × 7 × √15 )/12

= 77√15/12 cubic cm


I hope this helps you.

:)