Question

two solid cones are geometrically similar and the height of the other .given that the height of the smaller cone is 12cm and the surface area is 124 cm sq find the height of the larger cone

Answer 1

The complete question - Two solid cones are geometrically similar and the height of one cone is 1.5 times that of the other. Given that the height of the smaller cone is 12 cm and its surface area is 124 cm², find the height of the larger cone

Given:

Two solid cones are geometrically similar and the height of one cone is 1.5 times that of the other. Given that the height of the smaller cone is 12 cm and its surface area is 124 cm²

To find:

Find the height of the larger cone.

Solution:

From the given information, we have the data as follows.

Two solid cones are geometrically similar and the height of one cone is 1.5 times that of the other.

The height of one cone is 1.5 times that of the other.  

If the height of the smaller cone is 12 cm, then the height of the larger cone is computed as follows.

H =  12 × 1.5 = 18 cm.

Therefore, the height of the larger cone is 18 cm.