Q13 of 67 Page 193

The base radius and the height of cone are 7 cm and 24 cm respectively. Find the slant height, curved surface area, total surface area and its volume.

Base radius of cone = r = 7 cm


Height of cone = h = 24 cm


Slant height = l =


⇒ l =


⇒ l =


⇒ l =


⇒ l = 25 cm


Curved surface area = πrl


= × 7 × 25


= 22 × 25


= 550 cm2


Total surface area of cone = curved surface area + area of base


= πrl + πr2


= πr(l + r)


= × 7 × (25 + 7)


= 22 × 32


= 704 cm2


Volume of cone = πr2h


= × × 72 × 24


= 22 × 7 × 8


= 1232 cm3


Therefore, slant height of cone is 25 cm, curved surface area is 550 cm2, total surface area is 704 cm2 and volume is 1232 cm3


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