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AMC20201029 +AMCAMC .
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02 AMC 1AMC AMC2018AMC.
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AMC AMC MAA6000 30 .
AMC AMC12IBA-level amc.
AMC .
AMC20201029 +AMCAMC .
AMC .
02 AMC 1AMC AMC2018AMC.
AMC AMC
AMC2006AMCASDAN CHINAAMC .
4AMC-AIME, AMC AMC
AMCAMC8AIME~AMCAMC.
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.