A disposable cup is in the shape of a cone, as shown. The cup has a volume of about 48.8 in?
? in.
6 in.
What is the radius of the cup to the nearest inch?
in
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Answer:

The volume of a cone is given by the formula V=\frac{1}{3} \pi r^{2} hV=

3

1

πr

2

h

If we plug in the known information into the formula, we will get the answer.

d=2.75 ind=2.75in

We know radius is half of d, so r=0.5*2.75=1.375 inr=0.5∗2.75=1.375in

The height is given as 4 in.

Pluggin all of these in the original formula gives us:

V=\frac{1}{3} \pi (1.375)^{2} (4)=7.919 cubic inchesV=

3

1

π(1.375)

2

(4)=7.919cubicinches

Rounded to the nearest tenth, our final answer is:

V=7.9 cubic inches

Step-by-step explanation:

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Answer:

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