The ratio of the radius and height of a cylinder is 2:3 . If its volume is 12,936cm^3 ,find the total surface area of the cylinder.
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- let the radius=2x,
height=3x.
-Volume of cylinder =πr*r*h
- 12936=²²/7*2x*2x*3x
- 12936=22/7*12x^3
-12936*7/22=12x^3
- 4116=12x^3
- 4116/12=x^3
- 343=x^3
- 7=x
Therefore, Radius=2*4=14cm,
Height=3*7=21cm
-TSA of cylinder =2πr(r+j)
- TSA= 2*22/7*14(14+21)
- TSA=3080cm cube
height=3x.
-Volume of cylinder =πr*r*h
- 12936=²²/7*2x*2x*3x
- 12936=22/7*12x^3
-12936*7/22=12x^3
- 4116=12x^3
- 4116/12=x^3
- 343=x^3
- 7=x
Therefore, Radius=2*4=14cm,
Height=3*7=21cm
-TSA of cylinder =2πr(r+j)
- TSA= 2*22/7*14(14+21)
- TSA=3080cm cube
Answered by
0
Step-by-step explanation:
r=2/3h
volume=πr²h
12,936=22/7(2/3h)²×h
h³=9261
h=21cm
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