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Home » $ k = 0 $: $ \binom30 \cdot 3^7 = 1 \cdot 2187 = 2187 $ - Veritas Home Health

$ k = 0 $: $ \binom30 \cdot 3^7 = 1 \cdot 2187 = 2187 $ - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The volume of a cylinder is 500 cubic units, and its height is 10 units. Find the radius of the base.

📌 \( 500 = \pi r^2 \times 10 \)

📌 \( r^2 = \frac{500}{10\pi} = \frac{50}{\pi} \)

📌 \( r = \sqrt{\frac{50}{\pi}} \)

📌 #### \(\sqrt{\frac{50}{\pi}}\)

📌 A projectile is launched with an initial velocity of 20 m/s at an angle of 30 degrees. Find the maximum height reached.

📌 Vertical component: \( v_y = 20 \sin(30^\circ) = 10 \) m/s

📌 Maximum height: \( h = \frac{v_y^2}{2g} = \frac{10^2}{2 \times 9.8} \approx 5.10 \) meters

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