Q. 65.0( 2 Votes )
The total surface area of a solid right circular cylinder is 1540 cm2. If the height is four times the radius of the base, then find the height of the cylinder.
Given : TSA of cylinder = 1540 cm2
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 + )
h2 = = 28 × 28
⇒ h = 28 cm
∴ The height of the right circular cylinder is 8 cm.
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