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In a right-angled triangle hypotenuse is 8√10 cm and based is half of the height. If height and based of the triangle are equal to height & radius
Question


In a right-angled triangle hypotenuse is 8√10 cm and based is half of the height. If height and based of the triangle are equal to height & radius of a cylinder, then find curved surface area of cylinder.

A.

512π sq cm

B.

256 π sq cm

C.

128 π sq cm

D.

556 π sq cm

E.

None of these

Correct option is A

Let height of triangle = 2x
So, based of triangle = x


Curved surface area of cylinder = 2πrh
= 2π 2x ×x
= 4×128π
= 512π sq cm

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