Question

The small cylinder can fill the big cylinder to a height of 5cm. The small cylinder has a diameter of 9cm and a height of 17cm. Work out the radius of the big cylinder.

Answer 1

Answer:

8.3 cm

Step-by-step explanation:

1. Find the volume of the small cylinder (volume of a cylinder = πr² · h)

π(4.5²) · 17 = 1080.945 cm³

2. Set up the equation to find the volume of the big cylinder

πr² · 5 = 1080.945

3. Divide both sides by 5

πr² = 216.189

4. Divide both sides by π (3.14)

r² = 68.85

5. Square root both sides

r = 8.3 cm (rounded to the nearest tenth)