Question

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

Answer 1

16:9

Explanation:

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

(4/3)² = 16/9

Answer 2

16/9

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