Question
The ratio of the radii of the bases of a cylinder and a
cone is 2:3, while the ratio of their heights is 3:5. 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 =2/3 Let h and H be the heights of the cylinder and the cone, respectively. h/H =3/5 The formula for volume ratio: Substituting values:
Hence, the ratio of the volumes is 4:5.
The ratio of present boys to girls is 3:2. 10 girls are absent, which is 20% of the class. No boys are absent. Find the number of boys.
16Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 1.5Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 1.875
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