Question

1. a cone - shaped cup has a height of 8 cm and a radius of 3 cm. what is the volume of liquid it can hold?

a. 16π cm³
b. 11π cm³
c. 72π cm³
d. 24π cm³

Explanation:

Step1: Recall the formula for the volume of a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 3\) cm and \(h=8\) cm. Substitute into \(V=\frac{1}{3}\pi r^{2}h\):

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Answer:

d. \(24\pi\mathrm{cm}^{3}\)