Problem

(4) Chris is planning to fill up a kiddie swimming pool for his younger sister but he does not have a water hose. He has decided to use a cylindrical bucket with a diameter of 12 inches and a height of 14.5 inches. He has already calculated the approximate volume of the kiddie pool to be able to hold about 60,000 cubic inches of water. Approximately how many buckets of water will he need to use in order to fill the kiddie pool? (A) Approximately 9 buckets (B) Approximately 115 buckets (C) Approximately 37 buckets (D) Approximately 29 buckets

Solution

Step 1 :\(V_{\text{bucket}} = \pi \cdot (\frac{12}{2})^{2} \cdot 14.5 \)

Step 2 :\(V_{\text{bucket}} = \pi \cdot 6^{2} \cdot 14.5 \approx 1649.9508 \text{ cubic inches} \)

Step 3 :\(\text{Buckets needed} = \frac{60,000}{1649.9508} \approx 36.4 \)

From Solvely APP
Source: https://solvelyapp.com/problems/20911/

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