A cone has a height of 17 inches and a diameter of 12 inches. What is its volume?
Use and round your answer to the nearest hundredth.

Question

A cone has a height of 17 inches and a diameter of 12 inches. What is its volume? Use $$ \pi \approx 3.14 $$ and round your answer to the nearest hundredth.

UpStudy AI · Accepted Answer

1. The formula for the volume of a cone is
   $$
   V = \frac{1}{3}\pi r^2 h.
   $$

2. The diameter is $$12$$ inches, so the radius is
   $$
   r = \frac{12}{2} = 6 \text{ inches}.
   $$

3. Substitute the values $$r = 6$$ inches and $$h = 17$$ inches into the formula:
   $$
   V = \frac{1}{3} \cdot 3.14 \cdot 6^2 \cdot 17.
   $$

4. Calculate $$6^2$$:
   $$
   6^2 = 36.
   $$

5. Multiply $$36$$ by $$17$$:
   $$
   36 \cdot 17 = 612.
   $$

6. Substitute back into the volume formula:
   $$
   V = \frac{1}{3} \cdot 3.14 \cdot 612.
   $$

7. Compute $$\frac{612}{3}$$:
   $$
   \frac{612}{3} = 204.
   $$

8. Finally, multiply by $$3.14$$:
   $$
   V = 204 \cdot 3.14 = 640.56.
   $$

The volume of the cone is approximately $$640.56$$ cubic inches.
The volume of the cone is approximately 640.56 cubic inches.

A cone has a height of 17 inches and a diameter of 12 inches. What is its volume?
Use and round your answer to the nearest hundredth.

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A cone has a height of 17 inches and a diameter of 12 inches. What is its volume? Use and round your answer to the nearest hundredth.

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A cone has a height of 17 inches and a diameter of 12 inches. What is its volume?
Use and round your answer to the nearest hundredth.