Question

Clemente bought a cylindrical (cylinder-shaped) ice cream treat on a stick, shown in the image.

Which measurement is closest to the volume of the ice cream treat?

At the top of the cyildner shape is 5 cm and on the side is 12 cm.

A. 942.5 cm 3
B. 217.5 cm 3
C. 188.5 cm 3
D. 235.6 cm 3

Answer 1

To find the volume of the cylindrical ice cream treat, we can use the formula for the volume of a cylinder:

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

where:
- \(V\) is the volume,
- \(r\) is the radius of the base of the cylinder,
- \(h\) is the height of the cylinder.

From your description:
- The diameter of the cylinder is given as 5 cm, so the radius \(r\) is half of the diameter:

\[
r = \frac{5}{2} = 2.5 \, \text{cm}
\]

- The height \(h\) is given as 12 cm.

Now, we can substitute these values into the volume formula:

\[
V = \pi (2.5)^2 (12)
\]

Calculating \( (2.5)^2 \):

\[
(2.5)^2 = 6.25
\]

Now substitute this back into the volume equation:

\[
V = \pi (6.25)(12) = 75\pi
\]

Now, using \( \pi \approx 3.14 \), we can approximate \(75\pi\):

\[
V \approx 75 \times 3.14 = 235.5 \, \text{cm}^3
\]

Now we can compare this approximation with the provided options. The closest choice to 235.5 cm³ is:

**D. 235.6 cm³**