Question

5. (If the diameter of the wheel of a truck is 49 cm. How many
revolutions of the wheel are required to travel a distance of 462 km?​

Answer 1

Answer:

The number of revolutions x circumference = distance travelled

Step-by-step explanation:

diameter = 49 cm

radius = d/2 = 49/2 =24.5 cm

distance = 462km

              =462000m

              =462000 x 100cm

circumference = 2 x pi x radius

                        = 2 x 22/7 x 24.5

                        = 154 cm

rev x circumference = distance travelled

rev x 154 = 462000 x 100

rev = (462/154) x 1000 x 100

     = 3 x 1000 x 100

     = 3,00,000revolutions

Proof for the same:

300000   ×   154 =  4,62,00,000

therefore the number of revolutions needed =  3,00,000revolutions