Use the image below.

Thomas wants to find the volume of his soup can. What is the volume of Thomas’ can? Answer in terms of 𝜋.

4.5 is the measurement of the side
3 is the measurement of the bottom
(1 point)
Responses

10.125π
10.125pi

13.5π
13.5pi

40.5π
40.5pi

6.75π
6.75pi
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1 answer

To find the volume of a cylindrical can, the formula is:

\[ V = \pi r^2 h \]

where \( r \) is the radius and \( h \) is the height.

From your description:

  • The "measurement of the side" (which we interpret as height) is 4.5 units.
  • The "measurement of the bottom" is 3 units, which implies the diameter of the can is 3 units.

Since the diameter is 3, the radius \( r \) is half of that:

\[ r = \frac{3}{2} = 1.5 \]

Now, plug the values into the volume formula:

\[ V = \pi (1.5^2) (4.5) \] \[ V = \pi (2.25) (4.5) \] \[ V = \pi (10.125) \]

So, the volume of Thomas’ can is:

\[ 10.125\pi \]

Therefore, the correct response is:

10.125π or 10.125pi.