a bucket i sin the form of frustum with the capacity of 12308.8 cm cube.the radii of the top and bottom of circular ends are 12 cm and 20 cm resp.find the hieght of the bucket and also the area of metal sheets used in making the bucket.(use pie=3.14)

Given that

Volume of the frustum (*V*) = 12308.8 cm^{3}

Also, radii of the top (*r*_{1}) = 12 cm

Radii of the bottom (*r*_{2}) = 20 cm

We know that

Volume of frustum,

Also, we know that

Now, the bucket will be open at the top and so the area of metal sheet used in making the bucket (Say A)

*A* = lateral surface of the frustum + (Area of circle at the bottom with *r*_{2} = 20 cm)

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