Number Operation

1) Rina Observed That in a Shower, 180 cm of Rain Falls in 15 Minutes. Calculate the Intensity of the Shower in mm per Second.

Step 1:

We need to calculate the intensity of the shower in mm per second.
Therefore, we will convert 180 cm to mm and 15 minutes to seconds.
We know 1 cm = 10 mm. Multiply 180 by 10 to convert 12 cm to an equivalent mm.
180 × 10 = 1,800 mm
Therefore, 180 cm = 1,800 mm

Step 2:

We know that 1 minute = 60 seconds.
Multiply 15 by 60 to convert 15 minutes to equivalent seconds.
15 × 60 = 900
Therefore, 15 minutes = 900 seconds

Step 3:

The formula to calculate the intensity of the water is:

Intensity= Depth of water/Time

 =2

Therefore, the intensity of the shower is 2 mm per second.

2) Suppose the Average Rainfall of Jalpaiguri Is 2674 mm. What Is the Total Rainfall (in M) Received in Jalpaiguri in a Year?

Step 1:

The formula to calculate the average rainfall is:

Average rainfall= Total rainfall in a year/12

Therefore, the formula to calculate the total rainfall in a year is as follows:
Total Rainfall = Average rainfall × 12
The average rainfall of Jalpaiguri = 2674 mm
Total rainfall = 2674 × 12 mm
= 32,088 mm

Step 2:

We know that 1 m = 1000 mm.
Divide 32,088 by 1000 to convert 32,088 mm to m.
32,088 ÷ 1000 = 32.088 m
Therefore, Jalpaiguri received 32.088 m of rainfall in a year.