What is the ratio for the surface areas of the cones shown below, given that

they are similar and that the ratio of their radil and altitudes is 4:3?

23

16:9

Step-by-step explanation:

If the linear ratio is 4:3, the area ratio will be the square of that.

(4/3) ² = 16/9

16/9

Step-by-step explanation:

we know that R1/R2 = 4/3 and L1/L2 = 4/3. where R1 and L1 are cone dimensions 1 and R2 and L2 are cone dimensions 2.

We also know that the cone sourface is S=pi x R x L.

So that S1/S2 = (pi R1 L1) / (pi R2 L2)

replacing and operating mathematically

S1/S2=R1 L1/R2 L2 = R1/R2 L1/L2=4/3 4/3 = 16/9