If r1 and r2 denote the radii of the ...

If `r_1` and `r_2` denote the radii of the circular bases of the frustum of a cone such that `r_1> r_2` , then write the ratio of the height of the cone of which the frustum is a part to the height of the frustum.

Text Solution

AI Generated Solution

Topper's Solved these Questions

STATISTICS
RD SHARMA ENGLISH|Exercise All Questions|250 Videos
TRIANGLES
RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.

If the areas of circular bases of a frustum of a cone are 4\ c m^2 and 9\ c m^2 respectively and the height of the frustum is 12 cm. What is the volume of the frustum?

The radii of the circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and the volume of the frustum.

The radii of the circular ends of a frustum of height 6cm are 14cm and 6cm respectively. Find the lateral surface area and total surface are of the frustum.

The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.

The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular ends is 4 cm, write the height of the frustum.

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r , then find the height of the cone.

The radii of the bases of a cylinder and a cone are in the ratio of 3:4 and their heights are in the ratio 2 : 3. Find the ratio of their volumes.

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions

Two cones have their heights in the ratio 1:3 and the radii of thei...
Text Solution
|
A hemisphere and a cone have equal bases. If their heights are also...
Text Solution
|
If r1 and r2 denote the radii of the circular bases of the frustum ...
Text Solution
|
If the slant height of the frustum of a cone is 6 cm and the perime...
Text Solution
|
If the areas of circular bases of a frustum of a cone are 4\ c m^2 ...
Text Solution
|
The surface area of a sphere is 616\ c m^2 . Find its radius.
Text Solution
|
A cylinder and a cone are of the same base radius and of same height...
Text Solution
|
The slant height of the frustum of a cone is 5 cm. If the differenc...
Text Solution
|
Conversion of Sphere into cylinder : The diameter of metallic sphere i...
Text Solution
|
A metallic sphere of radius 10.5 cm is melted and recast into small...
Text Solution
|
A solid is hemispherical at the bottom and conical above. If the sur...
Text Solution
|
A solid sphere of radius r is melted and cast into the shape of a ...
Text Solution
|
The material of a cone is converted into the shape of a cylinder of...
Text Solution
|
A circus tent is cylindrical to a height of 4 m and conical above i...
Text Solution
|
The number of solid spheres, each of diameter 6 cm that could be mou...
Text Solution
|
A sphere of radius 6 cm is dropped into a cylindrical vessel partly ...
Text Solution
|
If the radii of the circular ends of a bucket of height 40 cm are o...
Text Solution
|
If a cone is cut into two parts by a horizontal plane passing throug...
Text Solution
|
The height of a cone is 40 cm. A small cone is cut off at the top by a...
Text Solution
|
A solid consists of a circular cylinder with an exact fitting right ...
Text Solution
|