Question

the ratio of radius and height of a cone is the area of base 154cm find the volume

Answer 1

there should be ratio 4:3..
So,

We have given the ratio of radius and height i.e 4 : 3

Let 

Radius = 4x

Height = 3x

Slant Height = root [(4x)2 +(3x)2 ]=5x {Pythagoreus Theorem}

We know that 

Area of Base = π×radius^2

154=22/7 ×16×2

--->x=1.75cm

Radius=7

Height =5.25cm

Slant Height =8.75cm 

Curved Surface Area = pie × radius × slant height

 =22/7×7 ×8.75

-->x=192.5cm2
hope it helped you......☺️

Answer 2

According to given condition,
we have;
r/h=154.......where r is radius of cone and h is the height of cone and 154is the area of its base .....which implies πr²= 154........




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