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Given that volume of the frustum(V) = 12308.8cm (cube)
Also radii of the top (r1) = 12 cm
Radii of the bottom (r2) = 20 cm
We know that
Volume of frustum
Also we know that
Lsquare + h square + (r1-r2) whole square
===> lsquare = 225 + 64
Lsquare= 289
L=17cm
Now the bucket will be open at the top and so the area of the metal sheet used in making the bucket (Say A)
A= lateral surface of the frustum + (area of circle at the bottom with r2 = 20cm)
A= pi(r1+r2)l +pi r square
= 3.14x(12+20) x 17 + 3.14x (20) square
= 3.14x32x17 + 3.14x400
= 1708.16 + 1256
= 2964.16 cm square
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Hope it helps!
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