Question

ramesh had a wooden piece of cube whose edge is 9 CM he wants to make a toy of right circular cone. he ask his feiend mohan abiut largest cone that can be cut that can be cut out from wooden cube. mohan suggested the method to find it. find the volume of largest right circular cine that can be cut out of a cube.
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Answer 1

Answer:

60 .75 [pie]cm³

Step-by-step explanation:

Since the edge of cube is 9 cm this will be the altitude of the cone. 

The radius of circular cone will be 9:2=4.5 cm. 

The volume of cone is given by formula: , where R is the radius and H the altitude of cone. Since we are asked for the largest cone, its volume must be equal or less than the volume of cube. We write: 

 so answer will be 60 .75 [pie]cm³

Answer 2

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

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