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Since the choices are independent, we multiply: - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If the water level drops by 0.5 meters per hour due to a leak, how long will it take for the tank to be completely empty?

📌 The volume of the tank is \( V = \pi r^2 h = \pi \times 3^2 \times 10 = 90\pi \) cubic meters.

📌 The rate of water loss per hour is \( \pi \times 3^2 \times 0.5 = 4.5\pi \) cubic meters per hour.

📌 Time to empty the tank is \( \frac{90\pi}{4.5\pi} = 20 \) hours.

📌 A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 30 degrees above the horizontal. Ignoring air resistance, calculate the maximum height reached by the projectile.

📌 The vertical component of the initial velocity is \( 50 \times \sin(30^\circ) = 25 \) m/s.

📌 Use the formula \( h = \frac{v^2 \sin^2 \theta}{2g} \), where \( g = 9.8 \) m/s².

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