Question

Two cylinders with equal volume will always have equal surface areas.​

Answer 1

Answer:

The given statement is False.

Consider two cylinders with the following measures-

e.g. , h= 9 cm, r=3 cm, h=4 cm

for the first cylinder,

Vol. =pi r²h =pi 2²×9 = 36pi cm³

Again for the second cylinder,

Vol. = pi r²h = pi 3²×4= cm³

Now, surface area of first cylinder = 2 pi r h

= 2 pi r×2×9=36pi cm²

Surface area of second cylinder = 2 pi r h

= 2 pi×3×4=24pi cm²

Therefore, the surface areas are not equal.