Question

Match the Correct Formula for Volume for the 3-D shape it goes with:(1 point) πr2h3 43πr3 πr2h
Cone
sphere
cylinder

Answer 1

πr2h/3

Answer 2

Here are the correct formulas for the volume of each 3-D shape:

- **Cone**: \(\frac{1}{3} \pi r^2 h\) (This option is not listed but is the formula for the volume of a cone)
- **Sphere**: \(\frac{4}{3} \pi r^3\)
- **Cylinder**: \(\pi r^2 h\)

From your provided options, the matches are:

- Cone: **(not listed, but the correct formula is \(\frac{1}{3} \pi r^2 h\))**
- Sphere: **\(\frac{4}{3} \pi r^3\)**
- Cylinder: **\(\pi r^2 h\)**

It seems that there is an incorrect volume formula option (πr²h3), which may be a typographical error or misunderstanding. Please verify the options provided.

Answer 3

Thank you for the clarification. Based on the updated option, here are the correct matches for the volume formulas:

1. **Cone**: \(\frac{1}{3} \pi r^2 h\) (which matches the provided formula \(\pi r^2 h/3\))
2. **Sphere**: \(\frac{4}{3} \pi r^3\)
3. **Cylinder**: \(\pi r^2 h\)

So, the matches are:

- Cone: \(\frac{\pi r^2 h}{3}\)
- Sphere: \(\frac{4}{3} \pi r^3\)
- Cylinder: \(\pi r^2 h\)

If you have any further questions, feel free to ask!