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Home » First: \( 3x \times 2x = 6x^2 \). - go-checkin.com

First: \( 3x \times 2x = 6x^2 \). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The volume after reduction \( V_2 = \pi (5)^2 (8) = 200\pi \) cubic meters.

📌 The volume removed is \( 250\pi - 200\pi = 50\pi \) cubic meters.

📌 So, the volume removed is \( 50\pi \) cubic meters, or approximately \( 157.08 \) cubic meters.

📌 #### 157.08

📌 If a square has a side length that increases at a constant rate of 2 cm per second, how fast is the area increasing when the side length is 5 cm?

📌 The area \( A \) of a square is \( A = s^2 \), where \( s \) is the side length.

📌 The rate of change of the area with respect to time is given by \( rac{dA}{dt} = 2s rac{ds}{dt} \).

📌 Given \( rac{ds}{dt} = 2 \) cm/s and \( s = 5 \) cm,

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