116k views
5 votes
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.

User LukeP
by
4.1k points

2 Answers

5 votes

Answer: 43 minutes

Step-by-step explanation: I don't know how to get the answer but I had te same problem and that was the answer

User Dpndra
by
3.3k points
6 votes

Answer:

It will take 171 minutes to refill the pool

Explanation:

Diameter of cone = 7 m

Radius of cone = 7 m

Depth of cone = 1 m

Volume of cone =
(1)/(3) \pi r^2 h = (1)/(3) * (22)/(7) * 7^2 * 1=51.33 m^3

1 cubic m = 1000 L

51.33 cubic m =
51.33 * 1000 =51330 L

Time taken to fill 300 L = 1 min

Time taken to fill 51330 L =
(51330)/(300)=171.1

So, it will take 171 minutes to refill the pool

Hence it will take 171 minutes to refill the pool

User WebbySmart
by
3.9k points