Math, asked by goyalarpit3541, 11 months ago

the sphere of radius 12 cm is melted and cones of radius 3 cm and height 4 cm are formed. how much such cones can be formed?

Answers

Answered by mitajoshi11051976
3

It is really very easy question.

Answer is 192 cone.

Step by step :-

Sphere is melted therefore find volume of sphere.

 =  \frac{4}{3} \pi {r}^{3}  \\  \\  =  \frac{4}{3}  \times  \frac{22}{7}  \times  {12}^{3}  \\  \\  = 7241.14 \:  {cm}^{3}

Now find volume of cone .

 =  \frac{1}{3} \pi {r}^{2} h \\   \\  =  \frac{1}{3}  \times  \frac{22}{7}  \times 3 \times 3 \times 4 \\  \\  = 37.71 {cm}^{3}

Now ,

From 37.71 cm^3 metal 1 cone

how many from 7241.14 cm^3 =(?)

 =  \frac{7241.14}{37.71}  \\  \\  = 192 \: cone

______________________________

mark as brainliest answer.

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