Question

The area of the curved surface of a cylinder is three times the base area and the height of the cylinder exceeds the radius by 7 cm. Find the volume of the cylinder

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Answer 1

Answer:

12,930cm²

Step-by-step explanation:

curved surface area = 3(base area)

2πrh = 3(πr²)

2h = 3r -----(i)

h = r+7 -----(ii)

put (ii) in (i)

2(r+7)=3r

2r + 14 = 3r

14 = 3r-2r

14= r----(iii)

h = r + 7

h = 14+7

h=21 -----(iv)

volume of cylinder = πr²h

π×(14)²x(21)

12,930cm²

sorry for the wrong ans.

Answer 2

Ans:-

=> C.S.A of cylinder = 3×(base area of cylinder)

=> 2πrh = 3×πr²

=> 2h = 3r

=> 2(r+7) = 3r

=> 2r + 14 = 3r

=> 2r - 3r = -14

=> -r = -14

=> r = 14.

now,

=> 2h = 3r

=> 2h = 3×14

=> h = 21

Now,

=> Volume of cylinder = π×r×r×h

=> Volume = 22/7 × 14×14×21

=> Volume = 12936sq.cm

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