It takes a plane flying at 150 km/h, 3.0 minutes to fly around a cloud at an altitude of 3000m. What is the diameter of the cloud

The altitude does not matter.

Circumference = pi*(diameter) = (speed)*(time)

D = V*t/pi is the cloud diameter
t = 1/20 = 0.05 hours

Solve for D

To find the diameter of the cloud, we need to determine the distance the plane travels while flying around it.

First, we convert the speed of the plane from km/h to km/min, since we are given the time in minutes.
150 km/h ÷ 60 min/h = 2.5 km/min

Next, we calculate the distance the plane travels while flying around the cloud.
Distance = Speed × Time
Distance = 2.5 km/min × 3.0 min
Distance = 7.5 km

Since the plane travels the circumference of the cloud, the distance is equal to the circumference of a circle.
Circumference = π × Diameter

Now, we can find the diameter of the cloud.
Diameter = Circumference ÷ π
Diameter = 7.5 km ÷ 3.14159
Diameter ≈ 2.3878 km

Therefore, the diameter of the cloud is approximately 2.3878 kilometers.

To find the diameter of the cloud, we first need to determine the distance traveled by the plane in 3.0 minutes. We can use the formula:

Distance = Speed × Time

Given that the plane is flying at a speed of 150 km/h and the time taken to fly around the cloud is 3.0 minutes, we need to convert the speed to km/min:

Speed = 150 km/h × (1 h / 60 min)
Speed = 2.5 km/min

Now, we can calculate the distance traveled by the plane:

Distance = Speed × Time
Distance = 2.5 km/min × 3.0 min
Distance = 7.5 km

Since the plane is flying around the cloud at an altitude of 3000m, the distance it travels around the cloud is equal to the circumference of the cloud.

Circumference = 2πr

To find the radius, we can use the following formula:

Altitude = radius (r)

3000m = r

Now we have the circumference of the circle (the cloud), which is equal to 7.5 km, and the radius, which is equal to 3000m.

To find the diameter, we can rearrange the formula for circumference:

Circumference = 2πr

Diameter = Circumference / π

Diameter = 7.5 km / π

Using a calculator, we can find the approximate value of the diameter:

Diameter ≈ 2.39 km

Therefore, the diameter of the cloud is approximately 2.39 kilometers.