Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.


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.

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.