Question

The C.S.A. and the volume of pillar 264 sq m and 396 sq m respectively. Find the radius of the pillar *​

Answer 1

Answer:

Your Answer

Step-by-step explanation:

Diameter = 6 m

Height = 42 m

step-by-step explanation:

Let the radius and height of the cylindrical pillar be 'r' and 'h' respectively.

Now,

it us given that,

CSA = 264 {m}^{2}m

2

But,

we know that,

CSA = 2πrh

=> 2πrh = 264

=> πrh = 132 ....................(i)

Now,

also,

volume of pillar = 396 {m}^{3}m

3

But,

we know that,

Volume = π{r}^{2}r

2

h

=> π{r}^{2}r

2

h = 396

=> r(πrh) = 396

putting the value of πrh from eqn (i),

we get,

=> 132r = 396

=> r = 396/132

=> r = 3 m

Now,

putting the value of r in eqn (i),

we get,

=> 3π h = 132

=> h = 132/3π

=> h = (132× 7)/(22× 3)

=> h = 42/ 3 m

=> h = 14 m

Hence,

Diameter = 6 m

Height = 14 m