Question

as office manager, rahm wants to ensure he is getting the best deal on paper cups. the office currently uses the cups shown. what is the volume of the cup to the nearest hundredth? image of a cone with height 4 in. and diameter 2.75 in. is shown a) 7.92 in³ b) 11 in³ c) 23.76 in³ d) 31.68 in³

Explanation:

Step1: Recall the volume formula for a cone

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

Step2: Identify the radius and height from the diagram

From the diagram, the diameter of the base of the cone is \( 2.75 \) inches, so the radius \( r=\frac{2.75}{2}=1.375 \) inches. The height \( h = 4 \) inches.

Step3: Substitute the values into the formula

Substitute \( r = 1.375 \) and \( h=4 \) into the volume formula:

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Answer:

A) \( 7.92\ \text{in}^3 \)