Question

A metallic solid cone is melted to from a solid cylinder of equal redius if the height of cylinder is 6cm then the height of the cone is

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Radiusofcone=Radiusofcylinder

\bold{Height \:of\: cylinder=Height\:of\: cylinder= 6\:cm}Heightofcylinder=Heightofcylinder=6cm

Now,

\bold{Volume\:of\:cone \:and\: cylinder\:are\:equal}Volumeofconeandcylinderareequal

\bold{ \frac{1}{3} \pi \: r {}^{3} h1 = \pi \: r {}^{2} h2}

3

1

πr

3

h1=πr

2

h2

\bold{ \frac{1}{3} \times h1 = h2}

3

1

×h1=h2

\bold{ \frac{1}{3} \times h1} = 6

3

1

×h1=6

\bold{h1 = 6 \times 3}h1=6×3

\bold{h1 = 18}h1=18