Question

HOW TO DO THIS QUESTION ​

Answer 1

yes it takes less than 15 mins

Explanation:

V ( hemisphere ) =
`(1)/(2)` ×
`(4)/(3)` πr³ =
`(2)/(3)` πr³ , then

V =
`(2)/(3)` × π × 30³

=
`(2)/(3)` × π × 27000

= 2π × 9000

= 18000π

≈ 56548.7 cm³

Time to fill =
`(56548.7)/(4000)` ≈ 14 minutes

Then it takes less than 15 minutes to fill the hemisphere

Answer 2

9514 1404 393

Answer:

yes

Explanation:

You can do this several ways. One is to divide the volume by the rate of filling to see if the time is less than 15 minutes. Another is to find the volume filled in 15 minutes and see if the hemisphere has less volume than that.

Volume of the hemisphere:

V = 2/3πr³

V = 2/3π(30 cm)³ ≈ 56,548.7 cm³

The time to fill it will be ...

V = 56,548.7 cm³/(4000 cm³/min) ≈ 14.14 min

Yes, it takes less than 1/4 hour to fill the container.