Question

Solid cylinder of brass 8m height and 4m diameter is melted and recast into a cone of diameter 3m. Find the height of cone.

Answer 1

radius of brass=2m and
radius of cone = 1.5m
Now, volume of brass= volume of cone
πr²h=1/3πr²h
π×2×2×8 = 1/3π×1.5×1.5×h
π×32=1/3×π×1.5×1.5×h
π×32÷1/3×π×1.5×1.5=h
42.6=h
So height of cone is 42.6m

Answer 2

Radius of brass=2m and

radius of cone = 1.5m

Now, volume of brass= volume of cone

πr²h=1/3πr²h

π×2×2×8 = 1/3π×1.5×1.5×h

π×32=1/3×π×1.5×1.5×h

π×32÷1/3×π×1.5×1.5=h

42.6=h

So height of cone is 42.6m: