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Question
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 16 cm , diameter = 24 cm
Solution
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
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