The radius of the cone, r = 8 cm.
Using Pythagoras theorem, we can find the height of the cone:
height^2 + radius^2 = slant height^2
height^2 + 8^2 = 17^2
height^2 = 17^2 - 8^2
height^2 = 225
height = 15 cm
Volume of cone = (1/3)πr^2h = (1/3)π(8^2)(15) = 320π/3 cubic cm
Total surface area of cone = πr^2 + πrℓ = π(8^2) + π(8)(17) = 288π/3 + 136π/3 = 424π/3 square cm.
Calculate the volume and the total surface area of a cone of base diameter 16cm and slant height 17cm in terms of pie
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