The curved surface area of a cone is 188.4 cm2 and
its slant height is 10 cm. Find its perpendicular
(n = 3.14)
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2
≡QUESTION≡
The curved surface area of a cone is 188.4 cm² and its slant height is 10 cm. Find its perpendicular .
║⊕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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