Question

be filled with this water.
4. Two solid cylinders, one with diameter 60
and height 30 cm and the other with radius 31
cm and height 60 cm, are melted and recasted
into a third solid cylinder of height 10 cm
Find the diameter of the cylinder formed.
TL1​

Answer 1

R1=d/2=60/2=30cm. h1=30cm

R2=31cm. h2=60cm

r3=? h3=10cm

V1+v2=V3

π r1^2 h+π r2^2 h=π r3^2 h3

π(r1^2 h1+r2^2 h2)=π r3^2 h3

r1^2 h1+r2^2 h2=r3^2 h

(30)^2 (30)+(31)^2 (60)=r3^2 (10)

27000+57660/10=r3^2

84660/10=r3^2

r3^2=8466

r3=√8466

r3=92.01cm

d3=2r3

d3=2(92.01)

d3=184.02cm

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