Question

1. a cylindrical container has a diameter of 4 cm and a height of 8 cm. what is the volume?

a. ( 32pi cm^{3} )
b. ( 33pi cm^{3} )
c. ( 31pi cm^{3} )
d. ( 30pi cm^{3} )

Explanation:

Step1: Find the radius

The diameter \(d = 4\mathrm{cm}\), so the radius \(r=\frac{d}{2}=\frac{4}{2}=2\mathrm{cm}\)

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 2\mathrm{cm}\) and \(h=8\mathrm{cm}\) into the formula:

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Answer:

A. \(32\pi\mathrm{cm}^3\)