Question
The ratio of the radii of the bases of a cylinder and a
cone is 5:6, while the ratio of their heights is 3:4. What is the ratio of the volume of the cylinder to the volume of the cone?Solution
ATQ,
Let r and R be the radii of the bases of the cylinder and the cone, respectively. r/R =5/6 Let h and H be the heights of the cylinder and the cone, respectively. h/H =3/4 The formula for volume ratio: Substituting values:
Hence, the ratio of the volumes is 25:16.
In the following question select the answer pair that expresses a relationship most similar to that expressed in the capitalised pair.
Loss of appetite
Ā Fill in the blanks with the appropriate antonym of the word in Italic from the options given:
His optimistic outlook was replaced by _______ ...
- Select the most appropriate ANTONYM of the given word.
Eager Internecine
The poor manāsĀ son is working very hardly.
The Girls said, āHurrah! we have won the battleā.
The original chapel was built in the ________ of CharlesĀ
14. Malevolent
...EmbitteredĀ