The radius of a cylindrical garden roller is 70 cm and its length is 2 m. How much area will it cover in 5 revolutions?

439822.95 cm²

Step-by-step explanation:

The radius of a cylindrical garden roller is 70 cm and its length is 2 m. How much area will it cover in 5 revolutions?

The formula to solve the above question is given as:

Area covered = Curved surface area × Number of revolutions

Step 1

We find the curved surface area of the cylindrical garden

Area = 2πrh

r = 70cm

h = 2m

Convert height to cm

1m = 100cm

2m = x

Cross Multiply

x = 2 × 100 cm = 200cm

Hence,

Area = 2 × π × 70 × 200

= 87964.59cm²

Step 2

Area covered = Curved surface area × Number of revolutions

= 87964.59cm² × 5 revolutions

= 439822.95 cm²