Question

A bucket is in the form of frustum of a cone with capacity of 12308.8 cm³ of water . The radii of the top and bottom circular ends are 20 cm and 12 cm respectively . Find the height of bucket and the cost of making it at the rate of 10 per cm² .

Answer 1

Check the attachment below

Answer 2

Hello!

Here is your answer!

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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!