Question

The volume and curved surface area of a cylinder are 1650 cm and 660cm respectively Find the radius and height of the cylinder


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Answer 1

Answer:volume = πr²h

1650=πr²h - i

Csa = 2πrh

660 = 2πrh

rh = 660/2π

Putting rh value in equation i

πr × 660/2π=1650

660r /2= 1650

r = 5

rh=660/2π

h=660/2πr

h=21

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Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

∴Let r be the radius of base and h be the height of cylinder

Curved surface area of cylinder ⇒ 660 cm²

Since we know that

Curved surface area of cylinder ⇒ 2πrh

⇒ 2πrh = 660                                                        (π=22/7)

⇒2 × 22/7 × r × h = 660

⇒ r × h =660×7/22×2

⇒r × h =30×7/2

⇒r × h = 15 × 7

⇒ r × h = 105

⇒ r×h = 105

Volume of cylinder = 1650 cm³

Since we know that

Volume of cylinder ⇒ πr²h

⇒ πr²h = 1650                                                            (π=22/7)

⇒22/7×r×r×h== 1650

Using r × h = 105 we get

22/7×r×105= 1650

22 × 15 × r = 1650

r=1650/22 × 15

r=110/22

⇒ r = 5 cm

NOW,Substitute r = 5 in r × h = 105 to get the value of h  

⇒ r × h = 105

⇒5 × h = 105

h⇒105/5

h⇒21 cm

Therefore, radius is 5 cm and height is 21 cm

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