Answer:
V (to the nearest km.) = 3619 km^3.
V (to the nearest tenth) = 3619.1 km.^3
V (to the nearest hundredth) = 3619.11 km.^3
V (to the nearest hundredth) = 3619.115 km.^3
Explanation:
- The photo you provided is cropped in a way which prevents us from seeing how much your question wants us to round our answer.
- Therefore, so I'll provide the answer rounded to the nearest km (whole number), the nearest tenth, the nearest hundredth, and the nearest thousandth.
- Use the answer depending on what the question tells you to round to.
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The formula for the volume of a cone is given by:
V = 1/3πr^2h, where
- V is the volume in units cubed,
- r is the radius,
- and h is the height.
Since the radius is 12 km. and the height is 24 km, we can substitute 12 for r and 24 for h in the volume formula to find V, the volume of the cone in km.^3:
V = 1/3π(12)^2 * 24
V = 1/3π(144) * 24
V = 48π * 24
V = 1152π
V = 3619.114737
Now we can start rounding to the nearest km., the nearest tenth, the nearest hundredth, and the nearest thousandth.
V (to the nearest km.) = 3619 km^3.
V (to the nearest tenth) = 3619.1 km.^3
V (to the nearest hundredth) = 3619.11 km.^3
V (to the nearest hundredth) = 3619.115 km.^3