Question

to find the volume of a cylinder, you need to know the of the base and the height. when given the diameter, the radius is of the diameter. in the formula ( v=pi\times r^{2}\times h ), ( r^{2} ) stands for

Explanation:

• For the first blank: The volume formula of a cylinder \(V = \pi r^{2}h=\text{Area of base}\times h\). The area of the circular base is \(\pi r^{2}\).
• For the second blank: The relationship between radius \(r\) and diameter \(d\) is \(r=\frac{d}{2}\), so the radius is half of the diameter.
• For the third blank: Since the area of a circle \(A = \pi r^{2}\), in the volume formula \(V=\pi r^{2}h\), \(r^{2}\) (when multiplied by \(\pi\)) gives the area of the circular base.

Answer:

1. area
2. half
3. the area of the circular base