Question

The radius and height of a cylinder are in the ratio 5:7 and it's volume is 550cm^3. Find it's radius. ​

Answer 1

Answer is in attachment

Answer 2

Answer:

Heya!

Radius of the cylinder is= 5×1 cm= 5 cm

Step-by-step explanation:

Let the radius and height of the cylinder be

5x and 7x respectively.

It is given that volume (v) 550 cm³

We know that volume of the cylinder= πr²h

Hence, πr²h= 550

→

$\frac{22}{7} \times ( {5x})^{2} \times 7x = 550$

→

${x}^{3} = \frac{550 \times 7}{22 \times 25 \times 7}$

→ x= 1 cm.

Hence, radius of the cylinder is= 5×1 cm= 5 cm

Hope it helps you ☺️