Question

4. The. lateral surface area and
Total surface area of right
circular cylinder. are in the
ratio 1:2.The ratio of height and
radius will be​

Answer 1

Answer:

Let the base be 2a, height be 3a

Curved Surface

Area of a Cylinder of Radius "r" and height "h" =2πrh

Hence, CSA of the given cylinder =2π(2a)(3a)=12πa

2

Total Surface Area of a Cylinder of Radius "R" and height "h" =2πR(R+h)

Hence, TSA of the given cylinder =2π(2a)(2a+3a)=20πa

2

Required ratio =12πa

2

:20πa

2

12:20

3:5

Answer 2

Answer:

3:5

Step-by-step explanation:

Let the base be 2a, height be 3a

Curved Surface

Area of a Cylinder of Radius "r" and height "h" =2πrh

Hence, CSA of the given cylinder =2π(2a)(3a)=12πa

2

Total Surface Area of a Cylinder of Radius "R" and height "h" =2πR(R+h)

Hence, TSA of the given cylinder =2π(2a)(2a+3a)=20πa

2

Required ratio =12πa

2

:20πa

2

12:20

3:5