Question

a garden roller is 2m wide and has diameter 1.4 m in how many revolutions will it level a field 24 m by 11 m ​

Answer 1

✰✰|| Given ||✰✰

• width of roller = 2m

• diameter of roller = 1.4m

• dimensions of field = 24m × 11m

✰✰|| To Find ||✰✰

• radius of roller

• curved surface of roller

• area of field

• No. of revolution roller take

✪|| Solution ||✪

diameter = 2 × radius

1.4 m = 2 × radius

radius = 1.4m/2

radius = 0.7m

curved surface area of roller = 2π × r × width

→ curved surface area of roller = 2 × 22/7 × 0.7m × 2m

→ curved surface area of roller = 44/7 × 0.7m × 2m

→ curved surface area of roller = 44 × 0.1 m × 2m

→ curved surface area of roller = 4.4m × 2m

→ curved surface area of roller = 8.8m²

area of field = 24m × 11m

→ area of field = 264m²

No. of revolution = 264m² ÷ 8.8m²

→ No. of revolution = 264 ÷ 8.8

→ No. of revolution = 30

No. of revolution roller take is 30.