Question

# If the radius and height of a cylinder are in ratio 5 :7 and its volume is 550 cubic.cm, then find the radius?

Hint:

### We use the common ratio to find the radius. Moreover, we would only use the positive of the cube root since radius is a distance and distance cannot be negative.

## The correct answer is: The radius is 5 cm.

### Explanations:

Step 1 of 3:

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

Let the common ratio be *x*.

Then, the radius and height of the cylinder is given by, 5*x*(= *r*) and 7*x*(= *h*) unit, respectively.

Step 2 of 3:

Step 3 of 3:

The common ratio is *x *= 1.

Therefore, the radius of the cylinder is cm

Final Answer:

The radius is 5 cm.

Step 3 of 3:

The common ratio is

*x*= 1.

Therefore, the radius of the cylinder is cm

Final Answer:

The radius is 5 cm.

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