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The volume of right circular cone …

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The volume of right circular cone is 9856m^3 and the area of its base is 616cm^2 find slant heigjt of the cone
  • 1 answers

Rajeev Malhotra 6 years, 5 months ago

volume of cone = π{tex}r^2h/3{/tex}

{tex}πr^2h/3{/tex} = 9856

616xh/3 = 9856

h= 9856 x3/616

h = 16 x3

h =48 cm 

{tex}πr^2 = 616{/tex}

{tex}22. r^2/7 =616{/tex}

{tex}r^2 {/tex} = 616 x7 /22

{tex}r^2{/tex} = 28 x7

r = 14 cm

{tex}slant height l = (h^2 + r^2)^1/2{/tex}

{tex}l = (14^2 + 48^2)^1/2{/tex}

{tex}l= (196+2304)^1/2{/tex}

{tex}l = (2500)^1/2{/tex}

l = 50 cm 

 

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