Question

The cylinder below has a radius of 6cm and a volume of 550cm

work out the length of the cylinder
give your answer to 2 d.p

Answer 1

With the given radius of 6cm and volume of 550cm³, the length of the cylinder is approximately 4.86 cm to two decimal places.

Step-by-step explanation:

To calculate the length of the cylinder, we use the formula for the volume of a cylinder which is V = πr²h.

We rearrange the formula to solve for height (length), so it becomes h = V / (πr²).

Given that the cylinder has a radius of 6cm and a volume of 550cm³, we substitute these values into the formula:

h = 550cm³ / (π × (6cm)²)

After doing the computation:

h = 550cm³ / (π × 36cm²)

h = 550cm³ / (113.097cm²)

h ≈ 4.8637cm

Therefore, the length of the cylinder is approximately 4.86 cm when rounded to two decimal places.