Pool

The pool has the shape of a cylinder with a diameter 4.6m, the presumed height is 130cm. The bucket fits 12l of water. How many buckets do you have to bring to fill this pool?

Result

n =  1801

Solution:

D=4.6⋅ 10=46 h=130/10=13 r=D/2=46/2=23 V1=π⋅ r2⋅ h=3.1416⋅ 232⋅ 13≐21604.7327 V2=12 n=⌈V1/V2⌉=⌈21604.7327/12⌉=1801D=4.6 \cdot \ 10=46 \ \\ h=130/10=13 \ \\ r=D/2=46/2=23 \ \\ V_{1}=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 23^2 \cdot \ 13 \doteq 21604.7327 \ \\ V_{2}=12 \ \\ n=\lceil V_{1}/V_{2} \rceil=\lceil 21604.7327/12 \rceil=1801

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