Question

The diameter of the two right circular cones
are equal if there slant heights are in the
ratio 3:2, then what is the ratio of there
curved areas
p​

Answer 1

Answer:

3:2

Step-by-step explanation:

Given that their diameters are equal.

Then, their radius are also equal.

⇒  r₁ = r₂.

Now,

Let the slant heights be 3x and 2x.

∴ Ratio of curved surface area = C₁/C₂

                                                   = πr₁l₁/πr₂l₂

                                                   = (3x)/(2x)

                                                   = 3 : 2

∴ Ratio of curved surface areas = 3 : 2

Hope it helps!

Answer 2

LET DIAMETER =?

LET THE SLANT HEIGHT BE =3XAND 2X  

C.S.A=πRL

πR×3X

C.S.A=πRL

πR×2X

C.S.A /C.S.A =πR×3X/πR×2X

=3/2