Question

Mr Salman plans to construct a cylindrical water tank of height ′ℎ′ and radius ′′. Due to space constraints, he constructs a cylindrical water tank of height ′2ℎ′ and radius '$\frac{r}{2}$'. How will this affect the volume of the new tank?

(a) The volume will decrease but cannot say by how much
(b) The volume will become half the volume of the originally planned tank
(c) The volume will become double the volume of the originally planned tank
(d) The volume remains the same

Answer 1

Answer:

the volume will reduce by half

Step-by-step explanation:

BECAUSE

VOLUME OF A CYLINDER = πr²h

Then the volume of the new cylinder will be

π×(r/2)²×2h

= π×r²/4×2h

VOLUME OF THE NEW CYLINDER = (πr²h)/2

THEREFORE THE VOLUME OF TGE NEW CYLINDER = (VOLUME OF TGE OLD CYLINDER)/2