Question

the volume and base circumference of cylinder is 6160 cm cube and 88 cm find the height of the cylinder​

Answer 1

Answer:

height of the cylinder = 10cm

Step-by-step explanation:

volume = 6160 cm³

cicumference  of base (2π r)  = 88

                                   2 x 22/7 x r  =88

                                                r   = ( 88 x 7 )  / (2 x 22)

                                                    =   14

volume of cylinder  =  6160

             π r² h      =  6160

       22/7 x 14 x14 x h =  6160

                              h =  (6160 x7) / (22 x 14 x 14)

                                =  10 cm

Answer 2

10 cm is the height.

Step-by-step explanation:

It is given that the base circumference of the cylinder is 88 cm.

So, circumference = $2\pi r = 88$

thus, $r = \frac{88}{2\pi }$

or, $r = \frac{44}{(22/7)}$

or, r = 2 x 7

or, r = 14 cm

Also, it is given that, the volume of the cylinder is 6160 $cm^3$.

Thus, Volume of a cylinder = $\pi r^2h$ = 6160

Putting the value of r, we get,

$\frac{22}{7} (14)^2h$ = 6160  

or, $\frac{22}{7} (14\times 14)h$ = 6160

or, $22(14\times 2)h$ = 6160

or, $h =\frac{6160}{22(14\times 2)}$

or, $h = 10$ cm