Question

The radius and height of cylinder are in the ratio 5:7. Find radius of the cylinder if volume is 4400cm cube.

Answer 1

i hope this will usful to u

Answer 2

Answer:

14 cm

Step-by-step explanation:

The radius and height of cylinder are in the ratio 5:7

Let the ratio be x

So, Radius = 5x

Height = 7x

Volume of cylinder = $\pi r^{2} h$

                               = $\frac{22}[7} \times (5x)^{2} \times (7x)$

                               = $550x^3$

Since we are given that the volume of cylinder is 4400 cm cube.

So,  $4400=550x^3$

$\frac{4400}{550}=x^3$

$8=x^3$

$2=x$

Radius = $5x= 5 \times 2 =10 cm$

Height = $7x= 7 \times 2 =14 cm$

Thus the radius of the cylinder is 14 cm