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A bucket is 12cm in diameter at top, 8cm in diameter at the bottom and 4cm deep. Calculate its volume

+1 vote
asked Feb 27, 2013 in BASIC MATH by Afeez Novice

1 Answer

+2 votes

Top diameter of the bucket,d1=12 cm

Radius of the top,r1=d1/2=6 cm

Bottom diameter of the bucket,d2=8 cm

Radius of the top,r2=d2/2=4 cm

Depth of the bucket,h=4 cm

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To calculate volume using,

V=1/3*pi*h*(r1^2 +r1r2 +r2^2)

Substitute required values

V=1/3*pi*4*(6^2 +6*2 +2^2)

  =1/3*pi*4*(36 +12 +4) 

  =1/3*pi*4*(52)

   =69.33pi  cm^2

   =217.811  cm^2

Therefore,volume of the bucket is 217.811 cm^2

I hope that helps u

 

 

answered Feb 28, 2013 by bradely Mentor

V=1/3 * pi * h * (r1^2 +r1r2 +r2^2)

Substitute required values

V = 1/3 * pi * 4 * (6^2 + 6*4 + 4^2)

= 1/3 * pi * 4 * (36 + 24 + 16) 

= 1/3 * 3.14 * 4 * 76

= 318.18 cm^3.

Therefore, volume of the bucket is 318.18 cm^3.

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