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Leya [2.2K]
3 years ago
6

Archie builds a pool in his backyard. The pool measures 16 yards long, 6 yards wide and 2 yards deep. How many gallons of water

will it take to fill the pool to the brim? (1 cubic yard = 202 gallons).
Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer:

gallons of water = 38784 gallons

Step-by-step explanation:

He builds a pool in his backyard .The pool measures 16 yards long, 6 yards wide and 2 yards deep. The pool is a rectangular prism. The number of gallons it can take to fill the pool can be calculated when we know the volume of the pool. Therefore,

volume of the pool = length × width × height

volume = lwh

l = 16 yards

w = 6 yards

h = 2 yards

volume = 16 × 6 × 2

volume = 192 yards³

1 cubic yards = 202 gallons

192 cubic yards = ?  gallons

cross multiply

gallons of water = 192 × 202

gallons of water = 38784 gallons

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Circle b:

Diameter = x

Radius = \frac{x}{2}

Area = \pi  r^{2} =  \pi ( \frac{x}{2} )^{2} =   \frac{ \pi  x^{2} }{4}

Circle a:

Diameter = \frac{x}{2}

Radius = \frac{x}{2} *  \frac{1}{2} =  \frac{x}{4}

Area = \pi  r^{2} =  \pi  ( \frac{x}{4} )^{2} =  \frac{  \pi x^{2} }{16}

Thus,

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5 0
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Phantasy [73]

Answer:

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