1.

The curved surface area of a cone is 188.4 cm2 andits slant height is 10 cm. Find its perpendicular(n = 3.14)​

Answer»

≡QUESTION≡

The curved surface area of a cone is 188.4 cm² and  its slant HEIGHT is 10 CM. Find its perpendicular.

                                                         

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║⊕ANSWER⊕║

GIVEN

Slant height ( l ) = 10 cm

Surface area of the cone = 188.4 cm²

Let the height be h cm

Radius = r cm

πrl = 188.4

r = 188.4 /( 3.14 * 10)

r = 188.4/( 3.14 * 10 )

r = 6 cm

Height is given by the formula:

h² = l² - r²

   = 10² - 6²

   = 100 - 36

   = 64

h = √64

   = 8 cm

∴ The perpendicular height of the cone =  8 cm

                                                           


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