Question

Find the radius of the circular base of the cone , if its volume is 154 cm³ and the perpendicular height is 12 cm

Answer 1

Volume of the cone = 154 cm³ 

⇒ `1/3 xx (pir^2) xx h = 154`

⇒ `1/3 xx (pir^2) xx 12 = 154`

⇒ `r^2 = (154 xx 3 xx 7)/(12 xx 22)`

⇒ `r^2 = 12.25`

⇒ r = 3.5 cm

Radius of the circular base of the cone is 3.5 cm