Question

A bucket is the form of a frustum of a cone with a capacity of 12308.8cm 3. If radii of the top and bottom circular ends of the bucket are 20cm and 12cm respectively.Find the height of the bucket and akso the area of metal sheet used in making it

Answer 1

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!

Answer 2

Hope the below attachment is of help for u ...