Saved Bookmarks
| 1. |
If the radius of the base of the right circular cylinder is reduced by 50%, keeping the same height, what iratio of the volume of the reduced cylinder to that of the original. |
|
Answer» Answer: ∴ Ratio =1:4. Step-by-step EXPLANATION: LET the radius of the cylinder is r and height is h ∴ VOLUME of the cylinder = πr 2 h According to the QUESTION new radius is half of the initial radius ∴New radius= 2 r
Height is h. ∴New volume of the cylinder = π( 2 r
) 2 h=π 4 r 2
h ∴ The ratio of the new volume of the cylinder and initial volume of the original cylinder= πr 2 h π 4 r 2
h
= 4 1
∴ Ratio =1:4. |
|