Question

the radius and the height of the cylinder are in the ratio 1:3 find the radius if the volume is 3234 cm cube

Answer 1

Let both be x
volume=22/7*1x*1x*3x cm3
  3234   =22/7*3x​3
3234*7/22*3=x3
            343=x3
               7=x
r=7
h=21

T.S.A=2*22/7*7*(21+7)cm2
         =44*28
        =1232 cm​2

Answer 2

The radius of cylinder is 18.52 cm

Step-by-step explanation:

The radius and the height of the cylinder are in the ratio 1:3 .

Let the ratio be x

So, radius = x

Height = 3x

Volume of cylinder =$\pi r^2 h = \frac{22}{7} \times x \times 3x$

We are given that the volume is 3234 cm cube

So, $\frac{22}{7} \times x \times 3x = 3234$

$x^2 = \frac{3234 \times 7}{22 \times 3}$

$x =\sqrt{\frac{3234 \times 7}{22 \times 3}}$

x=18.52

So,The radius of cylinder is 18.52 cm

#Learn more:

The radius and height of cylinder are in the ratio 7 ratio 2 if the volume of cylinder is 8316 M cube find the radius and height of the cylinder

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