The radius & height of a right circular cone are in ratio 5:12. If its volume is 314 cm³, find the slant height & curverd surface area. (Take π = 3.14)
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Let proportionality constant =x
radius =5x and height =12x
now,
volume of cone =πr^2h/3
314=3.14(5x)^2.(12x)/3
100=25 x 4(x^3)
x=1
hence,
radius =5cm
height =12 cm
so,
slant height=√{(12)^2+(5)^2}=13cm
now,
cross section area =πr^2
=3.14 x 5 x 5 =78.5 cm^2
radius =5x and height =12x
now,
volume of cone =πr^2h/3
314=3.14(5x)^2.(12x)/3
100=25 x 4(x^3)
x=1
hence,
radius =5cm
height =12 cm
so,
slant height=√{(12)^2+(5)^2}=13cm
now,
cross section area =πr^2
=3.14 x 5 x 5 =78.5 cm^2
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