A cone of hight 10 cm with a diameter of its base 20 cm is curved out from a wooden solid sphere of radius 10 cm what is the percentage of wood consumed in the cone options 1 25% 2 50% 3 75% 4 20%
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Answer:
A) 25 %
Step-by-step explanation:
Let us find the Volume of the cone first
h = 10 cm
diam. of base = 20 cm
Radius = 10 cm
Therefore, Vol (Cone) = 1/3 πr^2h
==> 1/3 X 3.14 X (10)^2 X 10
==> 1036.20 cm^3 ....(1)
Let us find the volume of the Solid sphere now,
radius = 10 cm
Therefore, Vol (Sphere) = 4/3 πr^3
==> 4/3 X 3.14 X (10)^3
==> 4176.20 cm^3 ...(2)
Therefore % Wood (Volume) consumed by the Cone
==> [Vol (Cone) / Vol (Sphere)] X 100
==> [1036.20 / 4176.20] X 100 %
==> 24.812 % ~ 25 %
Thus % wood consumed by the cone ==> 25 %
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