Question

The radius of slant height of a cone are in the ratio 1:3. The volume of a cone is 783. 1641 cm cube. Find the height of the cone use ^=3.14

Answer 1

$\bf{Ratio\:of\:radius\:and\:slant\:height\:=\:3\::4}$

$\bf{Volume\:of\:cone\:=\:783.1641\:cubic\:cm}$

$\bf{Let\:Radius\:be\:x\:,\:Slant\:height\:be\:3x}$

$\bold{\boxed{Volume\:of\:cone\:=\:\frac{πr^2h}{3}}}$

$\bf{\implies\:783.1641\:=\:\frac{3.14(x^2)(3x)}{3}}$

$\bf{\implies\:783.1641\:=\:\frac{3.14(3x^3)}{3}}$

$\bf{\implies\:783.1641\:=\:\frac{9.42x^3}{3}}$

$\bf{\implies\:783.1641\:=\:3.14x^3}$

$\bf{{\implies\:\frac{783.1641}{3.14}\:=\:x^3}}$