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Home » The ratio of the volume of the sphere to the volume of the hemisphere is: - Leaselab

The ratio of the volume of the sphere to the volume of the hemisphere is: - Leaselab

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 Total energy in 5 hours = 600 kW × 5 = 3000 kWh.

📌 #### 3000 kWh

📌 A chemistry student mixes 250 mL of a 20% salt solution with 750 mL of a 5% salt solution. What is the concentration of the final mixture?

📌 Salt from first solution = 250 mL × 0.20 = 50 g.

📌 Salt from second solution = 750 mL × 0.05 = 37.5 g.

📌 Total salt = 50 + 37.5 = 87.5 g.

📌 Total volume = 250 + 750 = 1000 mL.

📌 Concentration = (87.5 g / 1000 mL) × 100% = 8.75%.

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4x^2 + 4y^2 + 4z^2 = 16 - 8z + z^2 \Rightarrow 4x^2 + 4y^2 + 3z^2 + 8z...
Divide by 4 to simplify:
x^2 + y^2 + rac{3}{4}z^2 + 2z - 4 = 0.
Now complete the square for $ z $:
rac{3}{4}z^2 + 2z = rac{3}{4}(z^2 + rac{8}{3}z) = rac{3}{4}\left( \...
ight)^2 - rac{16}{9}
ight) = rac{3}{4}\left(z + rac{4}{3}
ight)^2 - rac{4}{3}.
x^2 + y^2 + rac{3}{4}\left(z + rac{4}{3}
ight)^2 - rac{4}{3} - 4 = 0 \Rightarrow x^2 + y^2 + rac{3}{4}\left(z...

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