Question

two similar cones have heights 10 cm and 15 cm. Find the ratios of each of the following.
a. The radii
b. the surface areas of the cones
c. the volume of the cones

Answer 1

All 'lengths' (i.e. height, radii) have the same ratio, let's call it k.

All 'areas' have the ratio k^2.

The volume has the ratio k^3.

Answer 2

I dont get it

Answer 3

15/10 = 3/2 or 3:2 ratio. Let this be 'k', and the results follow from above.

Answer 4

ok.

Answer 5

how do you find the radi
when it only gives me the heigt

Answer 6

You don't need to find the radii, only their ratio. As they are similar, the ratio of the radii is equal to the ratio of the heights.

Answer 7

so the radii would be 3/2

Answer 8

The RATIO of the radii is 3/2 or 3:2, yes.

Answer 9

When I have to do the equation its pie r s + pie r2 what do i subsstitue fro r

Answer 10

You can't do that. And you don't need to. It is really as simple as my first reply.

Answer 11

My teacher didnt teach me that way, to me that method is coufusing idk how to find the surface area and volume

Answer 12

You CANNOT find them explicitly. The description of 'height 10' could be any cone with any radius.

Answer 13

so how do i find the s.a and volume

Answer 14

The ratio of the SA = (3/2)^2 = 9/4
The ratio of the Volume = (3/2)^2 = 27/8

You CANNOT find the exact SA/volume.

Answer 15

K THNX can you helop me on my othere question

Answer 16

two similar pyramids have volumes 3 in3
and 375 in3. find the ratios of each of the following.
a. the heights of the pyramids
b the lateral areas of the pyramids
c. the surface areas of the pyramids