Q. 65.0( 2 Votes )

# The total surface area of a solid right circular cylinder is 1540 cm^{2}. If the height is four times the radius of the base, then find the height of the cylinder.

Answer :

__Given__ : TSA of cylinder = 1540 cm^{2}

__To find__ : Height of cylinder = h = ?

__Formula__ : TSA of cylinder = 2πr (h + r)

__Solution__ : Let the radius and height of the cylinder be r and h respectively.

According to the given condition,

h = 4r

⇒ r =

TSA of cylinder = 2r (h + r)

⇒ 1540 = 2 × × (h + )

1540 =

h^{2} = = 28 × 28

⇒ h = 28 cm

∴ The height of the right circular cylinder is 8 cm.

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