A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8

2 thoughts on “A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8”

1. Answer:

   Given :–

   A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden

   To Find :–

   How much area will it cover in 8 revolutions?

   Solution :–

   We know that

   CSA = 2πrh

   CSA = 2 × 22/7 × 2.8/2 × 3

   CSA = 44/7 × 1.4 × 3

   CSA = 44 × 0.2 × 3

   CSA = 44 × 0.6

   CSA = 26.4 m²

   Now

   Area covered = 8 × 26.4

   Area covered = 211.20 m²

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2. Answer:

   • A garden roller will cover 211.2 m² of area in 8 revolutions.

   Step-by-step explanation:

   Given that:

   • A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden.

   To Find:

   • How much area will it cover in 8 revolutions?

   Formula used:

   • CSA of cylinder = 2πRh

   Where,

   • CSA = Area covered by roller in one revolution
   • R = Radius of roller = 2.8/2 = 1.4 m
   • h = Length of roller = 3 m

   Finding the area covered by roller in one revolution:

   ⟶ CSA = 2 × 22/7 × 1.4 × 3

   ⟶ CSA = (2 × 22 × 1.4 × 3)/7

   ⟶ CSA = 184.8/7

   ⟶ CSA = 26.4

   ∴ Area covered by roller in one revolution = 26.4 m²

   Finding the area covered by roller in 8 revolutions:

   • One revolution = 26.4 m²
   • 8 revolutions = (8 × 26.4) = 211.2 m²

   Hence,

   • Area covered by roller in 8 revolutions = 211.2 m²

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