To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \(V\) is the volume, \(r\) is the radius of the base, and \(h\) is the height of the cone.
Based on the information provided (13m by 28), it seems that 13m could be the radius, and 28m could be the height. This interpretation needs to be confirmed since it wasn't explicitly stated, but it's a reasonable assumption.
Now, plug these values into the formula:
\[ V = \frac{1}{3} \pi (13)^2 (28) \]
First, calculate the base area with the radius:
\[ r^2 = 13^2 = 169 \]
Next, multiply by the height:
\[ 169 \times 28 = 4732 \]
Finally, multiply by \(\frac{1}{3} \pi\):
\[ V = \frac{1}{3} \pi \times 4732 \approx 1577.1 \pi \]
Approximating \(\pi\) as 3.14159:
\[ V \approx 1577.1 \times 3.14159 \approx 4954.74 \, \text{m}^3 \]
However, this result doesn't seem to match any of the provided options closely. Let's recheck the options:
1. 3389 m\(^3\)
2. 5389 m\(^3\)
3. 4389 m\(^3\)
4. 1389 m\(^3\)
It appears I may need to correct my assumptions or re-evaluate the given dimensions. Given none of these volumes are exactly 4954.74 m\(^3\), one of the closer answers might be 5389 m\(^3\).
Given the original calculation correctness, it's possible the choices provided contain typographical errors or assumptions made could need rechecking.
Let's provide an answer in view of problem scope and context consideration:
The most reasonable answer given the options provided appears to be:
5389 m\(^3\).
10. Find the volume of the cone 13m by 28.
(Hint: also refer to the video before question 9)
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3389 m cubed
5389 m cubed
4389 m cubed
1389 m cubed
1 answer