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A cone has a radius of 6 inches and a height of 10 inches.



What is the exact volume of the cone?

A.


240π in3











B.


120π in3











C.


40π in3











D.


360π in3

Sagot :

naǫ
The volume of a cone:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
r - the radius
h - the height

[tex]r=6 \\ h=10 \\ \\ V=\frac{1}{3} \pi \times 6^2 \times 10=\frac{1}{3} \pi \times 36 \times 10=\frac{360}{3} \pi=120\pi[/tex]

The answer is B. 120π in³.

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Radius of cone = 6 inches

Height of cone = 10 inches

We need to find the "volume of cone":

As we know the formula for "Volume of cone":

[tex]Volume=\frac{1}{3}\pi r^2h\\\\Volume=\frac{1}{3}\pi \times 6\times 6\times 10\\\\Volume=120\pi\ cm^3[/tex]

Hence, Exact volume of cone is 120π cm³.

Therefore, Option 'B' is correct.

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