Question

The ratio of CSA and TSA of a right circular cylinder is 2:3 and total surface area is 14784 cm'. Find its volume

Answer should be 137984cm^3

Please answer my question as soon as possible because it is very important for me
Please explain the answer to me ​

Answer 1

Answer:

Given :

Ratio of total surface area to the curved surface area of a right circular cylinder 3:2. Its total surface area is 14784 cm².

To find :

The volume of the cylinder ?

Solution :

The total surface area of the cylinder is TSA=TSA=2πrh+2πr²

The curved surface area of the cylinder is CSA=2πrh

Its total surface area is 14784 cm².

The ratio of total surface area to the curved surface area of a right circular cylinder 3:2.

i.e. TSA/CSA=3/2

14784/CSA=3/2

CSA=9856

Or 2πrh=9856

Now, take total surface area

14784=9856+2πrh²

2×22/7×r²=4928

r²=4928×7/2×22

r²=784

r=√784

r=28

Substitute r in CSA,

2×22/7×28×h=9856

h=9856×7/2×22×28

h=56

The volume of the cylinder is V=πr²h

V=22/7×(28)²×h

V=137984cm³

Therefore, the volume of the cylinder is 137984 cm³.

Step-by-step explanation:

$Hope \: it \: helps.$