total surface area of cone is 188.4 sq. cm and it's slant height is 10cm. Find it's Perpendicular height (pie=22/7)
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Answer:Solution :
Dimensions of the cone :
i ) Slant height ( l ) = 10 cm
Let the height = h cm
Radius = r cm
Surface area of the cone = 188.4 sqcm
=> πrl = 188.4
=> r = 188.4 /( πl )
=> r = 188.4/( 3.14 × 10 )
r = 6 cm
ii ) r = 6 cm , l = 10 cm , h = ?
h² = l² - r²
=> h² = 10² - 6²
=> h² = 100 - 36
=> h² = 64
h = √64
h = 8 cm
Therefore ,
Perpendicular height of the
cone = h = 8 cm
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