Question

Find the curved surface area , the total surface area and the volume of a cone if its : 

Height = 16 cm , diameter = 24 cm

Answer 1

Height = 16 cm , diameter = 24 cm

diameter = 24 cm ⇒ r = 12 cm 

Curved surface area = `(pir sqrt(h^2 + r^2))`

 = `22/7 xx 12 xx sqrt(16^2 + 12^2)`

 = `22/7 xx 12 xx sqrt(400)`

 = `22/7 xx 12 xx 20`

= 754.29

Curved surface area = 754.29 cm²

Total surface area = area of circular base + Curved surface area

= `pir^2 + (pir sqrt(h^2 + r^2))`

 = `22/7 xx 12 xx 12 + 754.29`

= 452.57 + 754.29

= 1206 . 86

Total surface area  = 1206.86 cm²

Volume = `1/3 xx (pir^2) xx h`

 = `1/3 xx 22/7 xx 12 xx 12 xx 16`

= 2413.71

Volume of the cone = 2413.71 cm³