Question

the radius and height of the cone are in the ratio 3:4 and its volume is 301. 44cm^3.find the radius and slant height of the cone

Answer 1

let the common factor be x  So radius and height would be 3x and 4 x respectively.  Volume of cone is 1/3 pi*r^2*h  so,  301.44=1/3 pi*36x^3  find appropriate value for x and then for slant height use pythagoras formula.  after finding x,multiply x by 3 to get radius and by 4 to get height.  Now by pythagoras theorem,  r^2 +h^2 =l^2 

Answer 2

Hey mate here is your answer

Radius of cone= 3 cm
Height of cone= 4 cm
Volume of cone = 301.44 cm cube

Answer - - - -

Radius = 3 cm (given)
Slant height=
$\sqrt[ {l}^{2} ]{ {r}^{2} + {h}^{2} }$
${l}^{2} \sqrt{ {3}^{2} + {4}^{2} }$
${l}^{2} \sqrt{9 + 16}$
${l}^{2} \sqrt{25}$
$l = 5$
Hope it will help you
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