It looks like you've uploaded a screenshot from a
KutaSoftware: Pre-Algebra Volume worksheet, focusing on finding the
volume of a cone. Let's solve the problem step by step based on what's visible.
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🔍 Problem Overview:
We are given a
cone with:
- Diameter of the base =
2 km
- We need to find the
volume of the cone.
But wait —
the height is missing in the image. However, we can see that the formula for volume is being written out as:
> $ V = \frac{1}{3} \pi r^2 h $
And some steps are already started:
- Radius $ r = \frac{d}{2} = \frac{2}{2} = 1 $ km
- So $ r = 1 $ km
But the
height (h) is not shown in the image. That means either:
- The height was provided elsewhere (not visible), or
- This is an incomplete problem.
Let’s assume the
height is missing, and proceed to
explain how to solve it once all values are known.
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✔ Step-by-step Solution (with assumptions):
#### Step 1: Identify known values
From the diagram:
- Diameter $ d = 2 $ km → Radius $ r = \frac{2}{2} = 1 $ km
- Height $ h $ = ? (missing)
Let’s suppose the height $ h $ is
given as, say,
6 km (common in such problems). If you have a specific value, plug it in accordingly.
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#### Step 2: Use the volume formula for a cone
$$
V = \frac{1}{3} \pi r^2 h
$$
Plug in $ r = 1 $ km and $ h = 6 $ km (example):
$$
V = \frac{1}{3} \pi (1)^2 (6) = \frac{1}{3} \pi (6) = 2\pi \text{ km}^3
$$
So,
$$
V \approx 2 \times 3.14 = 6.28 \text{ km}^3
$$
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📌 Final Answer (if h = 6 km):
$$
\boxed{2\pi} \text{ km}^3 \quad \text{or} \quad \boxed{6.28} \text{ km}^3 \text{ (approx)}
$$
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❗Important Note:
Since the
height is not visible in your image, you must check the original problem for the height value. Without it, the volume cannot be calculated.
If you can provide the
height (e.g., 5 km, 4 km, etc.), I can give you the exact answer.
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🔁 Summary:
- Radius $ r = 1 $ km (since diameter = 2 km)
- Formula: $ V = \frac{1}{3} \pi r^2 h $
- Plug in $ r = 1 $, and use the actual height value.
- Example: if $ h = 6 $ km → $ V = 2\pi $ km³
✔ Please confirm the
height of the cone so I can finalize the correct answer!
Parent Tip: Review the logic above to help your child master the concept of infinite pre algebra worksheet.
