Question

The curved surface area of a right cylinder is three times its base area. If the sum of the
radius and height is 25 cm, find its volume.​

Answer 1

2π rh = 3 πr×r

2h=3r

now r + h=25

r = 25-h

so 2h= 3 (25 - h)

2h =75 -3h

5h =75

h= 15

r =25 -15 =10

now volume =π×r×r×h = 3.14 × 10× 10 × 15

314 ×15 =4710cm cube

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