Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.


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.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.