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

Step-by-step explanation:

Let the radius of the pillar be r metres and its height be h metres. Then,

CSA =264m sq

=2πrh=264......(i)

volume =396 m sq

=πr^2h=396.....(ii)

dividing(ii) from (i)

= πr^2h/2πrh = 396/264

=r/2=7/2

=r=7 m

therefore, radius of pillar is 7m

Answer 2

Answer:

C.S.A = 264 sq.m

2πrh = 264

2 × π × r × h = 264

h = 264/2πr

Volume = 396 cubic.m

πr^2h = 396

h = 396/πr^2

According to question,

264/2πr = 396/πr^2

264/2πr × πr^2 = 396

264r/2 = 396

264r = 396×2

264r = 792

r = 792/264

r = 3 cm

h = 264/2πr

h = 132/πr

h = 132 / ((22/7)×3)

h = (132×7) / (22×3)

h = 924 / 66

h = 14 cm

Step-by-step explanation:

Radius = 3 cm

Height = 14 cm

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