Question

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.
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Answer 1

Step-by-step explanation:

Let, r be the radius of the cylindrical pillar and h be the height of the cylindrical pillar

Curved surface area of cylindrical pillar = CSA = 264 m2 (Given)

So, 2πrh = 264

or πrh = 132 …(1)

Again,

Volume of the cylinder = 924 m3 (given)

πr2 h= 924

or πrh(r) = 924

Using equation (1)

132 r = 924

or r = 924/132

or r = 7m

Substitute value of r value in equation (1)

22/7 x 7 x h = 132

Or h = 6m

Therefore, diameter = 2r = 2(7) = 14 m and height = 6 m

Answer 2

Answer:

Given: Curved Surface Area of cylinder = 264m

2

Volume of cylinder = 924m

3

CSA of cylinder = 2πrh

264 = 2×

7

22

×r×h

r×h=42

h=

r

42

...(1)

Volume of cylinder = πr

2

h

924=

7

22

×r

2

×

r

42

924=

7

22

×r×42

r=

22×42

924×7

r=7m.

Radius is 7m

diameter is 14m

Height of cylinder =

7

42

=6m