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Home » Substitute $ d = 2 $ into the first equation: - 500apps

Substitute $ d = 2 $ into the first equation: - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A cone has a base radius of 4 cm and height 9 cm. What is its volume? (Use \( V = \frac{1}{3}\pi r^2 h \))

📌 \[ V = \frac{1}{3} \pi \times 4^2 \times 9 \]

📌 \[ = \frac{1}{3} \pi \times 16 \times 9 \]

📌 \[ = 48\pi \] cm³ ≈ 150.8 cm³ (using \( \pi \approx 3.1416 \)).

📌 #### 150.8Question: A resilience coordinator is modeling the tidal patterns in New Orleans to plan flood mitigation strategies. The height of the tide at a particular location is modeled by the function $ h(t) = 4\sin\left(\frac{\pi}{6}t\right) + 3\cos\left(\frac{\pi}{6}t\right) $, where $ t $ is the time in hours after midnight. What is the maximum height of the tide, and at what time does it occur?

📌 To find the maximum height of the tide, we rewrite the function in the form $ R\sin\left(\frac{\pi}{6}t + \phi\right) $, where $ R $ is the amplitude and gives the maximum height.

📌 h(t) = 4\sin\left(\frac{\pi}{6}t\right) + 3\cos\left(\frac{\pi}{6}t\right)

📌 This can be expressed as:

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