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Question
A swimming pool is 18 m long and 8 m wide. Its deep and shallow ends are 2 m and 1.2 m respectively. Find the capacity of the pool, assuming that the bottom of the pool slopes uniformly.
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Solution
Length of pool = 18 m
Breadth of pool = 8 m
Height of one side = 2m
Height on second side = 1.2 m
∴ Volume of pool = 18 x 8 x `(( 2 + 1 . 2 ))/( 2 )` m3
= `( 18 xx 8 xx 3.2 )/( 2 )`
= 230.4 m3
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