The volume of a cone with height $$ h $$ and radius $$ r $$ can be found using the formula $$ V=\frac{1}{3} \pi r^{2} h $$ Sketch a cone with radius 8 feet and height 7 feet, then find the volume. If needed, round to the nearest tenth. ft

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To find the volume of the cone with a radius of 8 feet and a height of 7 feet, we can use the formula for the volume of a cone:

$$ V = \frac{1}{3} \pi r^{2} h $$

Given:
- Radius ($$ r $$) = 8 feet
- Height ($$ h $$) = 7 feet

Substitute the values into the formula:

$$ V = \frac{1}{3} \pi (8)^{2} (7) $$

Now, we can calculate the volume of the cone.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{3}\pi \times 8^{2}\times 7$$
- step1: Multiply the terms:
  $$\frac{7}{3}\pi \times 8^{2}$$
- step2: Multiply:
  $$\frac{7\pi }{3}\times 8^{2}$$
- step3: Multiply:
  $$\frac{7\pi \times 8^{2}}{3}$$
- step4: Multiply:
  $$\frac{448\pi }{3}$$
The volume of the cone with a radius of 8 feet and a height of 7 feet is approximately 469.14 cubic feet.

Therefore, the volume of the cone is approximately 469.14 cubic feet.
The volume of the cone is approximately 469.1 cubic feet.

The volume of a cone with height \( h \) and radius \( r \) can be found using the formula \( V=\frac{1}{3} \pi r^{2} h \) Sketch a cone with radius 8 feet and height 7 feet, then find the volume. If needed, round to the nearest tenth. ft

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