Question

A sphere has a height of 26. Find the surface area, volume and density (D=m/v , where m is 72)

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Answer 1

Surface Area: 2123.72

Volume: 9202.77

Density: 0.0078

Explanation:

For a sphere, the height is the diameter.

Also we know the radius is half of the diameter.

Since height is 26, diameter is 26 as well. Thus, radius is half of 26, which is 13.

Formulas:

Surface area of sphere = 4πr^2

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

Density = mass/volume

Firstly, the surface area:

`4\pi r^2\\=4\pi (13)^2\\=2123.72`

Next, the volume:

`(4)/(3)\pi r^3\\=(4)/(3)\pi (13)^3\\\\=9202.77`

Lastly, density:

`(Mass)/(Volume)\\=(72)/(9202.77)\\=0.0078`

*Note: all answers are given as is since no units were given