surface area of a cone is 188.4 sq.cm and its slant height is 10 cm . find its perpendicular height (phi =3.14)
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Answered by
24
radius = r
slant hieght = 10cm
hieght = ?
surface area = 188.4cm²
surface area of cone = πrl
188.4 = 3.14 x r x 10
188.4 / 31.4 = r
radius = 6cm
l² = r² + h²
10² = 6² + h²
100 - 36 = h²
√64 = h
h = 8cm
the perpendicular hieght of cone is 8 cm
Brother you don't mention radius of the cone So. I πrl for cone .
I hope it will help if help then you mark as brainliest answer
slant hieght = 10cm
hieght = ?
surface area = 188.4cm²
surface area of cone = πrl
188.4 = 3.14 x r x 10
188.4 / 31.4 = r
radius = 6cm
l² = r² + h²
10² = 6² + h²
100 - 36 = h²
√64 = h
h = 8cm
the perpendicular hieght of cone is 8 cm
Brother you don't mention radius of the cone So. I πrl for cone .
I hope it will help if help then you mark as brainliest answer
Answered by
7
≡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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