Question

A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the volume of the key?

Options:

The volume is about 4.24 cm^3.

The volume is about 3.72 cm^3.

The volume is about 2.96 cm^3.

The volume is about 1.41 cm^3.

Answer 1

The volume is about 4.24 cm^3.

Explanation:

From the question we are told that:

Diameter
`d= 3-cm`

Radius
`r=d/2=>1.5cm`

Height risen
`14.6-14=0.6cm`

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

`V=\pir^2h`

Therefore

`V=\pi*1.5^2*0.6`

`V=4.2417\\\\V=4.24 cm^3`

Correct Option A

The volume is about 4.24 cm^3.