From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the
same height and same diameter is hollowed out. Find the total surface area of the
remaining solid to the nearest cm.
plzz it's urgent...
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Answer:
18 cm^2
Step-by-step explanation:
Solid cylinder radius = 1.4/2 = 0.7 cm.
It's height = 2.4 cm
A conical cavity of the same height and same diameter is hollowed out.
Radius of cone = 0.7 cm
Height of cone = 2.4 cm
T.S.A of remaining solid,
=> 2πrh + πr² + πrl
=> πr(2h + r + l)
slant height l = √h² + r²
=> 22/7 * 0.7 * (2 * 2.4 + 0.7 + √0.7² + 2.4²)
=> 22/7 * 0.7 * (4.8 + 0.7 + 2.5)
=> 22 * 0.1 * 8
=> 17.6 cm^2
=> ~18 cm^2
Hence, Total surface area of remaining solid = 18 cm²
#Hope my answer will help you!
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