here is another.A spherical tank of diameter 3m is filled wit water from a pipe of radius 30cm to 0.2m/s.calculate an corcet to 3s.f the time in minute it wil take to feel the tank take to be TT=22/7 thankyou

(9π/2 m^3)/((.09π m^2)(0.2 m/s))(1min/60s) = 4.1666 min = 4'10"

To calculate the time it takes to fill the spherical tank, we need to consider the flow rate of the water.

The pipe has a radius of 30 cm, which is equal to 0.3 m. The water flow rate is given as 0.2 m/s.

The formula to calculate the volume of a sphere is:

V = (4/3) * π * r^3

The radius of the tank is half its diameter, so the tank radius is 3m / 2 = 1.5m.

Substituting the values into the formula, we get:

V = (4/3) * 22/7 * (1.5m)^3
V = (4/3) * 22/7 * 3.375 m^3 = 45 m^3

Next, we need to calculate the time it takes to fill the tank. We can use the formula:

Time = Volume / Flow rate

Time = 45 m^3 / 0.2 m/s = 225 s

To convert the time to minutes, we divide by 60:

Time in minutes = 225 s / 60 = 3.75 minutes

Rounding to 3 significant figures, the time it takes to fill the tank is approximately 3.75 minutes.

To calculate the time it takes to fill the tank, we need to find the volume of the tank and divide it by the rate of water flow.

1. First, let's calculate the volume of the spherical tank. The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius.

Given radius = 3m/2 = 1.5m (half the diameter)
V = (4/3) * π * (1.5)^3
V = (4/3) * 22/7 * (1.5)^3
V ≈ 14.143 m^3 (rounded to 3 decimal places)

2. Next, let's calculate the cross-sectional area of the pipe. The formula for the area of a circle is A = π * r^2.

Given radius of the pipe = 30cm = 0.3m
A = π * (0.3)^2
A = π * 0.09
A ≈ 0.283 m^2 (rounded to 3 decimal places)

3. Now, we can calculate the rate of water flow. The rate is given as 0.2m/s.

4. Finally, we can calculate the time it takes to fill the tank using the formula: time = volume / rate.

time = 14.143 m^3 / (0.2 m/s)
time ≈ 70.715 seconds

5. To convert seconds to minutes, divide by 60.

time in minutes = 70.715 s / 60
time in minutes ≈ 1.179 minutes (rounded to 3 decimal places)

Therefore, it will take approximately 1.179 minutes (rounded to 3 significant figures) to fill the tank with water.