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Home » Now find all $ z \in [0^\circ, 360^\circ] $: - Simpleprint

Now find all $ z \in [0^\circ, 360^\circ] $: - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Discount on product A: \( \$50 \times 0.15 = \$7.50\).

📌 Discount on product B: \( \$70 \times 0.10 = \$7.00\).

📌 Total savings: \( \$7.50 + \$7.00 = \$14.50\).

📌 #### 14.50

📌 A cylindrical tank with a radius of 3 meters and height of 10 meters is filled with water. If a solid metal sphere with a radius of 2 meters is submerged, how much water (in cubic meters) will overflow?

📌 Volume of the cylinder: \( V = \pi r^2 h = \pi \times 3^2 \times 10 = 90\pi \) cubic meters.

📌 Volume of the sphere: \( V = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 2^3 = \frac{32}{3}\pi \) cubic meters.

📌 Water overflowed is equal to the volume of the sphere: \(\frac{32}{3}\pi \approx 33.51\) cubic meters.

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