Question

A roller has daimeter 84 cm and length 120cm
It has taken 500 rounds to complete a ground.
How much area has taken by ground ?

Answer 1

$\large\underline{\underline{\sf Given:}}$

• Diameter of roller (d) = 84cm

•°• Radius (r) = 42cm

• Length of roller (l) = 120cm

• Number of rounds = 500

$\large\underline{\underline{\sf To\:Find:}}$

• How much area has taken by ground = ?

$\large\underline{\underline{\sf Solution:}}$

${\boxed{\sf Total\: Surface\:Area\:of\: Cylinder= 2πrh }}$

$\large\implies{\sf 2×\dfrac{22}{7}×42×120 }$

$\large\implies{\sf 31680cm^2 }$

Area levelled by 500 revolution :

$\large\implies{\sf 500×31680}$

$\large\implies{\sf 15840000cm^2 }$

Convert it into meter.

$\large\implies{\sf 1584m^2 }$

$\Large\underline{\underline{\sf Answer:}}$

•°• 1584m² is taken by the ground .