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Home » \frac13\pi r^2 h = \frac43\pi r^3 - Silent Sales Machine

\frac13\pi r^2 h = \frac43\pi r^3 - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \Delta A = A_1 - A_2 = 40 - 32 = 8 \text{ cm}^2

📌 Thus, the area decreases by \(\boxed{8}\) square centimeters.

📌 Question:** A circle is inscribed in a square with side length 10 cm. What is the area of the shaded region outside the circle but inside the square, expressed in terms of \(\pi\)?

📌 The side length of the square is 10 cm, so its area is:

📌 A_{\text{square}} = 10^2 = 100 \text{ cm}^2

📌 The circle is inscribed, so its diameter equals the side of the square, 10 cm, meaning the radius \(r\) is:

📌 r = \frac{10}{2} = 5 \text{ cm}

📌 The area of the circle is:

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More precisely: \( t \approx 6.94 \) seconds
#### 6.94 seconds
The price of a laptop rises by 12% annually due to technology inflatio...
Formula: \( P = 1200 \times (1 + 0.12)^5 \)
\( (1.12)^5 \approx 1.7623 \)
\( P \approx 1200 \times 1.7623 = 2,114.76 \)
#### $2,114.76
A company’s revenue follows \( R(t) = 5000(1.08)^t \) dollars, t years...
Base of exponential: \( 1.08 \), which means 8% annual growth
Total questions (relevant to e major context or general advanced math)...

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