Question

What is the volume of a hemisphere with a radius of 3.3 m, rounded to the nearest tenth of a cubic meter?

Answer 1

39865.1 m

Explanation:

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = 26.7

radius=26.7

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (26.7)^3

3

4

​

π(26.7)

3

79730.1155307

79730.1155307

Use calculator

\text{Volume of Hemisphere HALF of Volume of Sphere:}

Volume of Hemisphere HALF of Volume of Sphere:

\frac{79730.1155307}{2}

2

79730.1155307

​

Divide volume by 2

39865.0577654

39865.0577654

Answer 2

`\sf Hello!`

•
`\sf Radius = 3.3 \:m`


`\sf Then,`


`\sf Volume \: of\:Hemisphere` :

=
`(\sf 2)/(\sf 3)`π
`\sf r^(2)`

=
`(\sf 2)/(\sf 3) × \sf 3.14 × \sf (3.3)^(2)`

=
`(\sf 2)/(\sf 3) × \sf 3.14 × \sf 10.89`

=
`(\sf 2)/(\sf 3) × \sf 34.1946`

=
`\sf 22.\:79759998\: m^(3)`

=
`\sf 22.8 \:m^(3)\: (approx.)`

~
`\sf iCarl`