Question

If the ratio of the density of two cones of the same height is 4:25, determine the ratio of the width of their land to the width.​

Answer 1

Answer:

ANSWER

Since the diameters of two cones are equal, their radius will also be the same.

Let the slant height of the two cones be l₁ and l₂ respectively.

Therefore, l₁:l₂=5:4

The curved surface area of the two cones are πrl₁ and πrl₂.

So, the ratio of their curved surface area are πrl₁/πrl₂.

π and r are cancelled.l₂/l₁ = 4/5

So, the ratio of the curved surface area of two cones is 5: 4