recreation assistant

recreation assistant

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So, the initial volume is \( V = \pi \times 3^2 \times 10 = 90\pi \) cubic meters.After draining, the new height is \( 10 - 4 = 6 \) meters.The remaining volume is \( V = \pi \times 3^2 \times 6 = 54\pi \) cubic meters.Therefore, the volume of water remaining in the tank is \( 54\pi \) cubic meters.A rectangular prism has dimensions 8 cm by 5 cm by 12 cm. If the length, width, and height are each increased by 20%, what is the new volume?The original dimensions are 8 cm, 5 cm, and 12 cm.Increasing each dimension by 20% gives new dimensions:New length = \( 8 \times 1.2 = 9.6 \) cm,New width = \( 5 \times 1.2 = 6 \) cm,New height = \( 12 \times 1.2 = 14.4 \) cm.