Question

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.​

Answer 1

Step-by-step explanation:

let the radius be r

then the height be 4r

a/q

TSA of cylinder = 2πr(h+r)

1540= 2×22/7×r(4r+r)

1540= 44r/7(5r)

1540= 220r²/7

7= r²/7

49=r²

√49=r

7= r

hence radius be 7

and height be (7×4)=28

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