Question

I would very much like to thank Aklee18oo for everything. this is my last question please see the attachment.​

Answer 1

8 mm

Explanation:

Formula to find volume :

Volume (cylinder) = πr²h

⇒ 753.6 = 3.14 × r² × 15

⇒ 47.1 × r² = 753.6

⇒ r² = 753.6/47.1

⇒ r² = 16

⇒ r = 4 mm

Relating radius and diameter :

Diameter = 2 × Radius

⇒ Diameter = 2 × 4 mm

⇒ Diameter = 8 mm

Answer 2

8mm

Explanation:

The volume of a cylinder is the base area times the height. The base is a circle, and we are not given the radius, so let the radius of the circle of the base of the circle be r. The area of a circle would be
`\pi r^(2)`. This multiplied by the height, which is 15, is
`15\pi r^(2)`. The volume is given to be 753.6, so we can make this an equation:

753.6 =
`15\pi r^(2)`

We are told to use 3.14 for pi, so:

`753.6 = 15 * 3.14 * r^(2)`

`r^(2) = 16`

`r = 4`

The diameter is twice the radius, so the diameter is 8mm.