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The basin beneath a
fountain is a right circular
cone that is 7 m across
and 1 m deep at the
center. After the fountain
is cleaned, the pool is
refilled at a rate of
300 L/min.
One cubic meter is 1,000 L
How long does it take to
refill the
pool? Round to the
nearest whole number as
needed.

Respuesta :

Answer:

It will take 171 minutes to  refill the  pool

Step-by-step explanation:

Diameter of cone  = 7 m

Radius of cone = 7 m

Depth of cone = 1 m

Volume of cone = [tex]\frac{1}{3} \pi r^2 h = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times 1=51.33 m^3[/tex]

1 cubic m = 1000 L

51.33 cubic m = [tex]51.33 \times 1000 =51330 L[/tex]

Time taken to fill 300 L = 1 min

Time taken to fill 51330 L =[tex]\frac{51330}{300}=171.1[/tex]

So, it will take 171 minutes to  refill the  pool

Hence it will take 171 minutes to  refill the  pool

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