armstrongjaidan28
armstrongjaidan28 armstrongjaidan28
  • 22-05-2023
  • Mathematics
contestada

Suppose that the volume, V,
of a right circular cylinder is
1280 cubic centimeters and
the radius of its base is
8 centimeters. What is the
height of the cylinder?
D

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 22-05-2023

Answer:

[tex]\huge\boxed{\sf h \approx 6.4\ cm}[/tex]

Step-by-step explanation:

Given data:

Volume = v = 1280 cm³

Radius = r = 8 cm

π = 3.14

Required:

Height = h = ?

Formula:

V = πr²h

Solution:

Put the given data in the above formula.

Finding height of cylinder.

1280 = (3.14)(8)²(h)

1280 = (3.14)(64)(h)

1280 = 200.96 (h)

  • Divide both sides by 200.96

1280 / 200.86 = h

h ≈ 6.4 cm

[tex]\rule[225]{225}{2}[/tex]

Answer Link

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