Question

What is the volume of sphere with diameter 23 ft?

2,027.83π ft3


16,222.67π ft3


1,140.66π ft3


176.33π ft3

Answer 1

`\large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: sphere \: = \: (4)/(3) \: \pi \: {r}^(3) }}}}}\end{gathered}`

• r denotes radius of sphere

`\bf \large \hookrightarrow \: \: r \: = \: (Diameter)/(2)`

`\bf \large \hookrightarrow \: \: r \: = \: \cancel(23)/(2)`

`\bf \large \hookrightarrow \: \: r \: = \: 11.5 \: ft`

Now , substuting the values in formula

`\bf \large \rightarrow \: \: (4)/(3) \: * \pi \: * \: {(11.5)}^(3) \\`

`\bf \large \rightarrow \: \: (4)/(3) \: * \: \pi \: * 1520.875 \\`

`\bf \large \rightarrow \: \: (4)/( \cancel3) \: * \: \pi \: * \cancel{1520.875} \: \: \: ^(506.9583) \\`

`\bf \large \rightarrow \: \: 4 \: * \: \pi \: * \: 506.9583`

`\bf \large \rightarrow \: \:2027.83 \: \: \pi \: \: ft \: ^(3)`

Hence , the volume of sphere is 2027.83 π ft³.

Answer 2

9514 1404 393

Answer:

2,027.83π ft^3

Explanation:

The radius is half the diameter, so is 11.5 ft. The volume is given by ...

V = (4/3)πr^3

V = (4/3)π(11.5 ft)^3 = 2027.83π ft^3