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If a right circular cylinder and oblique cylinder both have a height of 12 inches and diameter of 6 inches, do they have the same volume? (Use straight pi equals 3.14)
Group of answer choices

Yes, they both have a volume of 339.12 inches cubed.

No, the right circular cylinder has a volume of 339.12 inches cubed and the oblique cylinder has a volume of 1 comma 356.48 inches cubed.

No, the right circular cylinder has a volume of 1 comma 356.48 inches cubedand the oblique cylinder has a volume of 339.12 inches cubed.

Yes, they both have a volume of 1 comma 356.48 inches cubed.

Respuesta :

Answer:

Yes, they both have a volume of 339.12 inches cubed.

Step-by-step explanation:

To calculate the volume of an oblique cylinder is very simple, we must multiply π (Pi = ~ 3.14) by the radius to the power of two and then multiply by the height. In this case the height forms a 90 degree angle from the opposite base to the position of the base, but outside of it.

Volume = π × Radius² × Height

The formula for the volume of a regular cylinder or an oblique cylinder is the same, if we imagine a stack of poker chips (forming a cylinder), even when we tilt the chips to one side (forming an oblique cylinder) the volume remains the same.

Now using this information, we must find the volumes of both cylinders.

For the oblique cylinder:
Given

  • Radius is 3 (Radius is have the diameter which is 6)
  • Height is 12

Using the formula,

The volume would be 339.29 m³

Now solving for the other cylinder:

V=πr²h=π·32·12≈339.29201

Rounded, the answer would be 33.29 m³

This therefore proves that they both have the same volume.

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