24) The height and slant height of a cone Art 21 cm and 25 CM respectively. Find the volume of the cone?
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Answer:
We can assume the Height of cone as the Height of a Right angled Triangle whose base = radius of the cone and slant height represents the Hypotenuse of that Triangle
Such that we can apply Pythagoras Theorem
21
2
+r
2
=28
2
⇒r=
343
Now, Volume of Cone =
3
1
πr
2
h=
3
1
∗
7
22
∗343∗21=7546 cm
3
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