Question

question 12(multiple choice worth 1 points)
(06.02 mc)
the picture shows a container that sue uses to freeze water.
what is the minimum number of identical containers sue would need to make 2,000 cm³ of ice? (use π = 3.14)

Explanation:

Step1: Calculate the radius of the cylinder

The diameter of the cylinder is \(d = 4\space cm\), so the radius \(r=\frac{d}{2}=\frac{4}{2}=2\space cm\).

Step2: Calculate the volume of one cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 2\space cm\), \(h=6\space cm\) and \(\pi = 3.14\) into the formula:
\(V=3.14\times2^{2}\times6\)
\(=3.14\times4\times6\)
\(=3.14\times24\)
\(=75.36\space cm^{3}\)

Step3: Calculate the number of containers

Divide the total volume of ice (\(2000\space cm^{3}\)) by the volume of one container (\(V = 75.36\space cm^{3}\)):
\(n=\frac{2000}{75.36}\approx26.54\)

Since the number of containers must be a whole number, and we need to have enough volume to make \(2000\space cm^{3}\) of ice, we round up.

Answer:

\(27\)