Question

If radius of cylinder is 28 cm, C.S.A of cylinder is 1274 cm ^2 Then find Height , T.S.A and vol of cylinder​

Answer 1

Step-by-step explanation:

Given,

Radius of cylinder= 28cm

CSA = 1274 cm^2

Height = ?

TSA = ?

Volume = ?

CSA OF CYLINDER=1274

2πrh = 1274

2 x 22/7 x 28 x h = 1274.

44 x 4 x h = 1274

h = 1274 / 176

h = 7.2cm

There fore Height is 7.2cm.

Now, TSA OF CYLINDER = 2π r ( h + r)

= 2 x 22/7 x 28 ( 7.2 + 28)

= 44 x 4 ( 35.2)

= 176 x 35.2

= 6195.2 cm^2

Therefore,TSA is 6195.2 cm^2.

Now, Volume of cylinder = π r^2h

= 22/7 x 28 x 28 x 7.2

= 44 x 28 x 7.2

= 44 x 201.6

= 8870.4 cm^3

Therefore,Volume is 8870.4cm^3.

Answer 2

Answer ⤵️

Let its height be x

C.S.A of the cylinder= 2πrh

$1274 = 2 \times \frac{22}{7} \times 28 \times x \\ 1274 = 11 \times 4 \times x \\ 1274 = 44 \times x \\ x = \frac{1274}{44} \\ x = 28.95$

So its height is 28.95 cm

T.S.A of the cylinder= 2πr(h+r)

$2 \times \frac{22}{7} \times 28(28.95 + 28) \\ = 11 \times 4 \times 56.95 \\ = 2505.8 \: \: {cm}^{2}$

So its T.S.A is 2505.8 cm²

Volume of the cylinder= πr²h

$\frac{22}{7} \times 28 \times 28 \times 28.95 \\ = 22 \times 4 \times 28 \times 28.95 \\ = 71332.8 \: \: {cm}^{2}$

So its T.S.A is 71332.8 cm²

Step-by-step explanation:

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