total surface area of a right circular cylinder is 1540 CM square if its height is 4 times the radius of the base then find the height of the cylinder
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Answer:
Let r = radius of the base of the cylinderLet h = height of the cylinder
Now, height of cylinder = 4 × radius of base of cylinder⇒ h = 4 r .....1
Total surface area of cylinder = 1540 cm2
⇒2π r( h + r) = 1540
⇒2×227×r (4r + r) = 1540
using 1 ⇒447 × 5 r^2 = 1540
⇒r^2 = 1540 × 744 × 5 = 49
⇒r = 7 cm ,
now, from 1, we get h = 4 × 7 = 28 cm.
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Answer:
4312 cm^3
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this is the right answer
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