Question

The area of base of a cylinder is 154cm square and 21cm is height.Find its volume and curved surface area. ​

Answer 1

Answer:

Volume = 3234 cubic cm

Curved Surface Area = 924 sq. cm

Step-by-step explanation:

Given that, for a cylinder,

• Base area = 154 sq. cm.
• Height, h = 21 cm

To find the Volume.

We know that, for a culinder,

Volume = Base area × height

=> v = 154 × 21

=> v = 3234 cubic cm.

Now, to find the curved surface area.

We know that, for a cylinder,

csa = 2πrh

where, r is the radius.

But, base area = 154

=> πr^2 = 154

=> r^2 = 154/π = 154×7/22

=> r^2 = 7×7

=> r = 7 cm

Therefore, we get,

=> csa = 2 × 22/7 × 7 × 21

=> csa = 44 × 21

=> csa = 924 sq. cm

Answer 2

Answer:

Given: Area Of Base Of Cylinder Is=154cm

Height=21cm

To Find: Volume & Curved Surface Area

Step-by-step explanation:

Solution:

As The Area Of Base Of Cylinder Is 154cm

Hence Area Of Circle= πr²

= 22/7×r×r=154

= 22×r×r=154×7

= r×r=154×7/22

= r²=49 [154×7=1078] [1078÷22=49]

= r=7

So Now We Got Radius Of Cylinder So It Easy To Find Volume

As, we Know

Volume Of Cylinder=πr²h

Now, Volume Of Cylinder

• 22/7 × 7×7 × 21. [Height Is Given ] 22 × 7 × 21 [ 7 Cuts 7 ]
• 3234

Hence The Volume Of Cylinder Is

3234 cm³ [cube]

Curved surface area of Cylinder

= 2πrh

• 2 × 22/7 × 7 × 21
• 2 × 22 × 21. [ 7 Cuts 7 ]
• 924 cm²

Hence CSA [Curved Surface Area] Of

Cylinder Is 924 cm²

Thanks You!!!