Question

the curved surface area of cylinder is 1760 cm square and it's volume is 12320 cm cube . Find its height​

Answer 1

Step-by-step explanation:

CSA of cylinder=2πrh

1760=2πrh

1760=2×22/7×rh

280=rh. ......(1)

Volume of cylinder=πr^2h

12320=22/7×r^2×h

3920=r(rh)

3920=r(280)

14=r.................(2)

PUTTING VALUE OF R IN EQUATION 1

280=14h

20=h

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Answer 2

The height is 20 cm.

Step-by-step explanation:

Given : The curved surface area of cylinder is 1760 cm square and it's volume is 12320 cm cube.

To Find : Its height ?

Solution : ​

The curved surface area of cylinder is 1760 cm square.

i.e. $2\pi rh=1760$  .....(1)

The volume of cylinder is 12320 cm cube.

i.e. $\pi r^2 h=12320$  .....(2)

Divide (2) by (1),

$\frac{\pi r^2 h}{2\pi r h}=\frac{12320}{1760}$

$\frac{r}{2}=7$

$r=14$

Substitute in (1),

$2\times \frac{22}{7}\times (14)\times h=1760$

$h=\frac{1760\times 7}{2\times 22\times 14}$

$h=20$

Therefore, the height is 20 cm.

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