1.

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Answer»

Height (h) = 9 cm

Volume = 48π cm³

Let r be the radius of the base of the cone

Volume of a right Circular cone =1/3 πr²h

Volume ofa right Circular cone = 48π cm³( Given)

1/3 πr²h = 48π

1/3 ×r²× 9 =48

3r²= 48

r²= 48/3 = 16

r=√16

r = 4cm

[On taking positive square root]

Hence, the diameter of the base= 2×r= 2× 4= 8cm



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