Three spheres made of copper having of 3 cm, 4cm and 5cm radii are melted and a large sphere is made.Calculate the lenghth of the large sphere.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
The radii of three smaller spheres are 3 cm, 4cm and 5cm.
`:.` the total volume of the three smaller spheres
`=(4)/(3)pi(3^(3)+4^(3)+5^(3))cc.=(4)/(3)pi(27+64+125)cc.=(4)/(3)xx(22)/(7)xx216`cc.
Let the radius of the large sphere be R cm
`:.` volume of the large sphere `=(4)/(3)xx(22)/(7)xxR^(3)`cc.
As per question,`(4)/(3)xx(22)/(7)xxR^(3)= 4/3 xx 22/7 xx 216 rArr R^3= 216 rArr R^3 = 6^3 rArr R= 6 `
Hence the radius of the large sphere = 6 cm