Question

HELP

Vaughn is calculating the volume of the cylinder below using the following work.
51 cm
24 cm
V = 3.14(12)(5)
= 3.14(144) (5)
= 2,260.8 cm
What was Vaughn's first error?
He confused the height and the diameter.
He squared 12 instead of 24.
He applied the exponent before multiplying 12 and
5.
He used the wrong units in his final answer.

Answer 1

He confused the height and diameter

Explanation:

Given that,

The radius of the cylinder, r = 2.5 cm

Height of the cylinder, h = 24 cm

The volume of the cylinder is given by the formula as follows :

`V=\pi r^2 h\\\\=3.14* (2.5)^2* 24\\\\=471\ cm^3`

Vaughn is confused in diameter and the height of the cylinder. He takes radius as 12 cm and height as 5 cm which is wrong. Hence, the correct option is (a).