The base of a right circular cone has th...

The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the cone have the same volume. Height of the cone is____

7/4a

7/3a

Text Solution

Verified by Experts

Topper's Solved these Questions

Rectangular Parallelopiped Cuboid
UNITED BOOK HOUSE|Exercise Exercise |26 Videos
Right Circular Cylinder
UNITED BOOK HOUSE|Exercise Exercise |26 Videos

Similar Questions

Explore conceptually related problems

The base of a right circular cone may not be circular.

The volume of sphere and a right circular cylinder having the same radius are equal. The ratio of the diameter of the sphere to the height of the cylinder is____

The volume of a right circular cone remains the same when its radius of base is doubled and height is halved.

The length of radius of base of a solid right circular cone is equal to the length of radius of a solid sphere . If the volume of the sphere is 2 times the volume of the cone , then find the ratio of the height and radius of base of the cone .

The radius of a right circular cone and its height is r unit . The volume of the sphere of diameter equal to the stant height of the cone will be

If the base radius and height of a right circular cone are r and h respectively, then the volume of the cone is

The radius of base and height of a right circular cone are equal . If the cone be melted to make a right circular cylinder of same radius , then what will be the ratio of the height of cylinder and the slant height of the cone ?

The ratio of the radius of base of a right circular cone and its height is 3:4 . If the volume of the cone be 301(5)/(7)c c , then what will be the height of the cone ?

If the base radius and height of a right circular cone are 28dcm. And 21dcm., then the slant height of the cone is

The base radius of a right circular cylinder and a cone are equal and the ratio of their volume is 3:2. Prove that the height of the cone is twice the height of the cylinder.

UNITED BOOK HOUSE-Right Circular Cone-Exercise

The slant height and whole surface of a right circular cone are 7 cm a...
Text Solution
|
If the radii of the circular ends of a bucket of height 40 cm are of l...
Text Solution
|
A solid sphere of radius r is melted and cast into the shape of a soli...
Text Solution
|
A metallic hemisphere is melted and recast in the shape of a cone with...
Text Solution
|
Volume of two cones are in the ratio 1 : 4 and their diameter in the r...
Text Solution
|
If a right circular cone is separated into solids of volumes V1, V2, V...
Text Solution
|
The height of the cone is 30 cm. A small cone is cut off at the top by...
Text Solution
|
If the area of the base of a cone is 770 cm^2 and the area of the curv...
Text Solution
|
The radius of the base and height of a right circular cone are in the ...
Text Solution
|
Two solid right cones of equal height and of radii r1 and r2 are melte...
Text Solution
|
The radius of the base of a right circular cone is doubled keeping its...
Text Solution
|
The base of a right circular cone has the same radius a as that of a s...
Text Solution
|
The circumference of the base of a 16 cm height solid cone is 33 cm. W...
Text Solution
|
The volume of a conical tent is 1232 cu. M and the area of its base is...
Text Solution
|
If S denotes the area of the curved surface of a right circular cone o...
Text Solution
|
The height and the radius of the base of a right circular cone are 12 ...
Text Solution
|
A right angled sector of radius r cm is rolled up into a cone in such ...
Text Solution
|
The radius of base and slant height of a cone are in the ratio 4 : 7. ...
Text Solution
|
If h, c, v are respectively the height, curved surface area and volume...
Text Solution
|
The radius of the base of a conical tent is 16 metres. If 427 3/7 sq. ...
Text Solution
|