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  • Find the total surface area of a cone, whose base radius is 3 cm and the perpendicular height is 4 cm(Approx.)?​

Find the total surface area of a cone, whose base radius is 3 cm and the perpendicular height is 4 cm(Approx.)?​

Answers (1)

Given that:
r = 3 cm
h = 4 cm

To find the total surface area of the cone, we need the slant height of the cone, instead of the perpendicular height.
The slant height l can be found by using the Pythagoras theorem.

l2 = h2 + r2
l2 = 32 + 42
l2 = 9 + 16
l = 5

The total surface area of the cone is therefore:
SA = πr(r + l)
SA = 3.14 x 3 x (3+5)
SA = 75.36 cm2
 

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lovekush

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