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.

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)

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step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1