Question

A cylindrical pillar has a lateral surface area of 880 m^2 and a radius of 14 cm . Find the height of the pillar .

Answer 1

Question :

A cylindrical pillar has a lateral surface area of 880 m^2 and a radius of 14 cm . Find the height of the pillar .

Answer :

$\sf\pink{Given:}$

• Lateral surface area of a cylindrical pillar is 880 m² .

• Radius of the pillar is 14 cm .

$\sf\pink{To\:find:}$

Lateral surface area of cylinder = 2πrh .

$\\ \longrightarrow\sf{ 880 = 2\times \dfrac{22}{7}\times 14\times h}$

$\\ \longrightarrow\sf{ 880 = \dfrac{44}{7}\times 14\times h}$

$\\ \longrightarrow\sf{ 880 = 44\times 2\times h}$

$\\ \longrightarrow\sf{ 880 = 88\times h}$

$\\ \longrightarrow\sf{ h = \dfrac{880}{88}}$

$\\ \longrightarrow\sf{ h = 10}$

• Therefore the height of the cylindrical pillar is 10 cm .