Question

a cylindrical wax of base diameter 12cm and height 36cm is melted and recast into conical wax of base radius 5cm and slant height 13cm.Find number of such conical waxes

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Answer 1

Step-by-step explanation:

given :diameter of cylindrical wax =12cm

radius of cylindrical wax, r = diameter /2= 12/2 =6cm

height of cylindrical wax ,h= 36cm

radius of conical wax ,R= 5 cm

slaint height of conical wax ,L=13 cm

H=√(L)2-(R)2

H=√(13)2-(5)2

H=√169-25

H=√144

H=12cm

find :no. of conical wax

Volume of Cylindrical wax =π(r)2h

π*6*6*36

volume of conical wax =1/3π(R)2H

1/3*π*5*5*12

number of conical wax = Volume of cylindrical wax / volume of conical wax

= π*6*6*36 /1/3*5*5*12

=1296/100

= 12.96

this means that the total number of conical wax is13