Question

Question 34

^
1
The volume of a cone with height ħ and radius r can be found using the formula V = ²h
2h
Find the volume of a cone with radius 7 feet and height 6 feet.
ft³
Check Answer

Answer 1

the volume of the cone is approximately 38.485 cubic feet.

The volume (V) of a cone is typically given as:

`\[ V = (1)/(3) \pi r^2 h \]`

where:

- \( \pi \) is a mathematical constant (approximately 3.14159),

- \( r \) is the radius of the base of the cone, and

- \( h \) is the height of the cone.

Given that you have a cone with a radius (\( r \)) of 7 feet and a height (\( h \)) of 6 feet, you can substitute these values into the formula to find the volume:

`\[ V = (1)/(3) \pi (7^2) (6) \]`

Let's calculate this:

`\[ V = (1)/(3) * 3.14159 * 49 * 6 \]\[ V \approx 38.485 \, \text{ft}^3 \]`

So, the volume of the cone is approximately 38.485 cubic feet.