The lengths of radii of a solid right cr...

The lengths of radii of a solid right crcular cone and a solid sphere are equal. If their - volumes be also equal, then find the ratio of the radius of the sphere and the height of the cone.

Text Solution

Verified by Experts

The correct Answer is:

`1:4`

Topper's Solved these Questions

RIGHT CIRCULAR CYLINDER
CALCUTTA BOOK HOUSE|Exercise Exercise - 2 (Long-answer type questions)|11 Videos
SIMILARITY
CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos

Similar Questions

Explore conceptually related problems

If the radii and volumes of a solid right circular cone and a solid sphere be equal, then what will be the ratio of the length of diameter of the sphere and the height of the cone ?

The shape of the lower part of a solid object is like a hemisphere and the upper part like a right circular cone . If the surface area of the two parts be equal , then find the ratio of the length of radius and height of the cone .

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 .

If the length of the radii of two solid right circular cylinder are in the ratio 2:3 and their height are in the ratio 5:3 , then the ratio of their volumes is

The total surface area of a solid hemisphere is 1848 sq. cm. A solid right circular cone is made by melting this hemisphere. If the radius of base of the cone is equal to the radius of the hemisphere , then what will be the height of the cone ?

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.

The ratio of the radii of a right circular cylinder cone is 3: 4 and the ratio of their heights is 2:3 Then find the ratio of the volumes of them

CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION

If r cos theta=2 sqrt(3), r sin theta=2 and 0^(@) lt theta lt 90^(@),...
Text Solution
|
If the number of plane surfaces of a cuboid = x, number of edges = y, ...
Text Solution
|
The lengths of radii of a solid right crcular cone and a solid sphere ...
Text Solution
|
The arithmitic mean of a frequency distraction is 8. If Sigma fi xi = ...
Text Solution
|
A person took a loan of ₹ 4000 from a bank at tha rate of 7% simple i...
Text Solution
|
Three potters from Kumartuli collectively took a loan of ₹ 100000 fro...
Text Solution
|
Solve : x^2+(8+sqrt(11)) x+sqrt(704)=0
Text Solution
|
The sum of the squares of two consecutive positive odd numbers is 802....
Text Solution
|
If (x^3 -y^3) prop (x^3 +y^3) then prove that (x - y) prop ( x + y)
Text Solution
|
Simplify : (3sqrt2)/(sqrt3 +sqrt6) -(4sqrt3)/(sqrt6 +sqrt2) +sqrt6/(sq...
Text Solution
|
If x = cy + bz, y = az + cx , z =bx + ay, then prove that x^2/(1-a^2)=...
Text Solution
|
If x/ (y+z) = y/(z+x) =z/(x+y) , then prove that the value of each ra...
Text Solution
|
Prove that front formed at the centre of a circle by an arc is the dou...
Text Solution
|
Prove that if two triangles are equiangular. Then corresponding sides...
Text Solution
|
If the radius of cylinder is doubled, but height is reduced by 50% . W...
Text Solution
|
Two circles intersect each other at P externally. The straight QR touc...
Text Solution
|
Determin the value of square root of 29 by geometric method.
Text Solution
|
If cos theta + sec thetan = 2, then find the value of (cos^(11) theta...
Text Solution
|
Prove that "cosec"^2""24 cot^2""66^@ = sin^(2)24^@ +sin^2 ""66^@+cot^2...
Text Solution
|
The heights of two towers are 210 metres and 70 metres respectively. ...
Text Solution
|