No.116 Changing the Dimensions of a Cylinder
POINT
Write the volume of the original solid and the new solid as algebraic expressions, then find how many times as large the new volume is.
Example
A cylinder has base radius \(r\) cm and height \(h\) cm. If the radius is doubled and the height is multiplied by \(\frac{1}{2}\), how many times the original volume is the new volume?
\(2\) times
Try it yourself.
PRACTICE 01
If the radius of a cylinder is tripled and its height is multiplied by \(\frac{1}{3}\), how many times the original volume is the new volume?
3 times
PRACTICE 02
If the radius of a cylinder is multiplied by \(\frac{1}{2}\) and its height is quadrupled, how many times the original volume is the new volume?
\(1\) time