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

Question

Cone
sphere
cylinder

Answer 1

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 2

πr2h/3

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!