Question

1.Ametallicsphereofradius4.2cmismeltedandrecastintothe

shapeofacylinderofradius6cm.Findtheheightofthecylinder.

2.Metallicspheresofradii6cm,8cmand10cmrespectively,are

meltedtoformasinglesolidsphere.Findtheradiusofthe

resultingsphere.

3.A20mdeepwellwithdiameter7misdugandtheearthfrom

diggingisevenlyspreadouttoformaplatform22mby14m.Find

theheightoftheplatform.

4.Acylindricalbucket,32cmhighandwithradiusofbase18cm,is

filledwithsand.Thebucketisemptiedonthegroundandaconical

heapofsandisformed.Iftheheightoftheconicalheapis24cm,

findtheradiusandslantheightofheap.

5.Aconeofheight24cmandradiusofbase6cmismadeupof

modellingclay.Achildreshapesitintheformofasphere.Find

theradiusofthesphere​

Answer 1

Answer:

1. h=1715

Step-by-step explanation:

Volume of sphere =volume of cylinder

4/3*pi rcube=pi rsquare h

4/3*4.2*4.2*4.2=36*h

61740=36*h

h=61740/36

h=1715