Question

A sphere with a mass of 12 g has a radius measuring 2 cm. What is its density?

0.36 g/cm3
1.43 g/cm3
6 g/cm3
24 g/cm3

Answer 1

I believe it’s 6 g/cm3. I hope this helps!

Answer 2

A.
`0.36 g/cm^3`

Explanation:

We are given that

Mass of sphere =12 g

Radius of sphere=2 cm

We have to find the volume of sphere

We know that formula of sphere

Volume of sphere=
`(4)/(3)\pi r^3`

Using this formula and substitute the values in the formula

Volume of sphere =
`(4)/(3)\pi (2)^3=(32)/(3)\pi cm^3`

We know that

Density =
`(Mass)/(volume)`

Density =
`(12)/((32)/(3)\pi)`

Density=
`(9)/(8* (22)/(7))`

Using
`\pi=(22)/(7)`

Density=
`0.357 g/cm^3`

Density=
`0.36 g/cm^3`

Therefore, option A is true.