Respuesta :

Answer:

8mm

Step-by-step 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 [tex]\pi r^{2}[/tex]. This multiplied by the height, which is 15, is [tex]15\pi r^{2}[/tex]. The volume is given to be 753.6, so we can make this an equation:

753.6 = [tex]15\pi r^{2}[/tex]

We are told to use 3.14 for pi, so:

[tex]753.6 = 15 * 3.14 * r^{2}[/tex]

[tex]r^{2} = 16[/tex]

[tex]r = 4[/tex]

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

Answer:

8 mm

Step-by-step 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

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