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A hemispherical bowl is made of …

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A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 4cm. Find the volume of steel used in making the bowl.

  • 3 answers

Shweta Gulati 8 years, 10 months ago

I am sorry that I posted the half question.

After taking out the voulme of the bowl with outer radius,

we will  calculate the volume of the bowl with inner radius and subtract the both.

Inner radius = 4cm

Volume = \( {2 \pi R^3\over 3}\)

=( 2 X 22 X (4)3)/21

= 134 cm3

So, volume of steel used = 160.842-134

= 26.842 cm3

 

Naveen Sharma 8 years, 10 months ago

Ans. Inner Radius ( r) = 4 cm

Thickness of Bowl (t) = 0.25 cm 

Outer Radius (R) = r + t = 4 + 0.25 = 4.25 cm

Volume of Steel Used = Outer Volume of Bowl - Inner Volume of Bowl

=> \({2\over 3} \pi R^3 - {2\over3} \pi r^3 = {2\over 3}\pi [{R^3-r^3}]\)

=> \({2\over 3} \times {22\over 7} \times [{77-64}] = {2\over 3} \times {22\over 7} \times 13\)

=> 27.23 cm3

 

Shweta Gulati 8 years, 10 months ago

Thickness of hemispherical bowl = 0.25 cm 

Inner radius = 4cm

Outer radius = 4+0.25=4.25 cm 

Volume of steel used in making the bowl=

\(V = {2 \pi r^3 \over 3}\)

= (2*22*4.25*4.25*4.25)/3*7

= 160.842 cm3

=

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