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The diameter of a metallic sphere …

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The diameter of a metallic sphere is 6cm. The sphere is melted and drawn into a wire of uniform Cross section. If the length of the wire is 36m, find it's radius.

Posted by Payal Chaudhary 6 years, 11 months ago

CBSE > Class 10 > Mathematics

6 answers

. . 6 years, 11 months ago

O.1 metres

Gurjar Kabir (बैंसला) 6 years, 11 months ago

Volume of the sphere = (4/3)πR3,The volume of the wire = πr2h. ......πr2h = (4/3)πR3. .....π cancel π .......................r2 *36*100cm = 4/3*3*3*3. ...r2 = (4 × 9)/(36 × 100) .......r2. = 1/100. .....r. = 1/10 or 0.1cm...?

Hritik Roushan Singh. 6 years, 11 months ago

Volume of sphere =4/3πr³ =4/3*π*(6)³ And, volume of sphere= Volume of wire Or, 4/3π(6)³ = πr²h Or,. 4/3*(6)³= r²*36 Or,. r²=4/3×216/36 Or,. r² = 8 Or,. r=2√2cm Or,. r=2.282cm

Gurjar Kabir (बैंसला) 6 years, 11 months ago

You can say 1/10 =0.1cm= r

Hritik Roushan Singh. 6 years, 11 months ago

Volume of sphere=⁴/³πr³

Gurjar Kabir (बैंसला) 6 years, 11 months ago

1/10 = r

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