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Illusion
2 months ago
12

Pls explain your work!

Mathematics
1 answer:
lawyer [12.5K]2 months ago
6 0
calculate the total volume to determine the amount that equals 20%. To find 20%, note that 20% is equal to 1/5. Hence, vcone = 1/3(hpir^2), and multiplying by 1/5 gives vcone = 1/15(hpir^2). From the given parameters, with d = 4.8, it follows that d/2 = r. Calculating, 4.8/2 yields r = 2.4. Considering the height h = 10, we can determine V to be 1/15(10pi(2.4^2)), which results in V = 1/15(10pi(5.76)) leading to V = 1/15(57.6pi), hence V = 3.84pi. Converted, this is 12.0637 cubic inches, representing 20% of the vase. With a rate of 0.5 cubic inches per minute, using the relationship 0.5 times t = 12.0637 and dividing by 0.5 gives t = 24.1237, approximately 24 minutes. Step-by-step explanation:
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