Two similar cones have radii in the ratio n:m. What is the ratio of their slant heights?
1 answer:
Answer:
The ratio of the slant heights of the two cones will also be n : m.
Step-by-step explanation:
See the attached diagram.
If we take the vertical sections along any diameter of the base circle of the cones A and B then the triangular sections as we get will be similar.
Now, ratio of the base of the triangles A and B i.e. the ratio of the diameters of the cones A and B will be 2n : 2m = n : m and this will be the same as the ratios of other two sides of the triangles A and B.
Therefore, the ratio of the slant heights of the two cones will also be n : m. (Answer)
You might be interested in
The cost of fuel was £971.09
Answer:
The center of the circle is:
Thus, option (2) is true.
Step-by-step explanation:
The circle equation is given by
here,
- r = raduis
- center = (a, b)
Given the equation
comparing with the circle equation
Therefore, the center of the circle is:
Thus, option (2) is true.