Question

the capacity of a closed cylindrical vessel is of height 2m is 77m3 (cube). find the radius of the vessel.​

Answer 1

$volume \: of \: cylinder = \pi \times {r}^{2} h$ hence 77=2×r×r
R×r=77/2

Answer 2

✔️Given,.

Capacity of the closed cylindrical vessel = 77${m}^{3}$

Height of the vessel = 2m

Let the radius of the vessel be 'r'.

Capacity of the vessel = volume of the vessel

We know that,

Volume of the cylinder = π${r}^{2}h$

Putting the volume and the given height in their respective places.

77${m}^{3}$= 22/7 × ${r}^{2}$ × 2m

77${m}^{3}$× 7 / 2m×22 = ${r}^{2}$

49/4 ${m}^{2}$ = ${r}^{2}$

r = √49/4${m}^{2}$

r = 7/2 m

✔️Verification:

Volume of the vessel = π${r}^{2}$h

= 22/7 × 7/2 × 7/2 × 2

= 77${m}^{3}$

Therefore, the radius of the vessel is 7/2 m.