Question

two hemispheres of radius 6cm and 10 cm are melted and recast to form a cone of diameter 14 cm find the height of the cone

Answer 1

I hope you are understand

Answer 2

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let radius of 1st hemisphere is r cm

and radius of 2nd hemisphere is R cm.

now we know that__

volume of 1st hemi. + vol. of 2nd hemi. = volume of cone

=>. 2/3 π r^2 + 2/3π R^2 = 1/3 π r^2 h

=>. 1/3π×2{ r^2+R^2} = 1/3 π 7^2 h

=>. 2{6×6+10×10}= 49h

=>. 272/49= h

=>. h= 5.5510 cm

so height of cone is 5.5510cm

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