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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.
Posted by Sadhna Kashyap 8 years, 10 months ago
- 3 answers
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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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
0Thank You