Question

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

Answer 1

`\huge\boxed{\sf h \approx 6.4\ cm}`

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

`\rule[225]{225}{2}`