Question

The volume of the sphere is about (blank) ft.​

Answer 1

`\displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^(3)`

Explanation:

we are given the redious of a sphere

we want to figure out the volume

remember that,

`\displaystyle V_{ \text{sphere}} = (4)/(3) \pi {r}^(3)`

since we are given the redious we can substitute

`\displaystyle V_{ \text{sphere}} = (4)/(3) \pi { * 1.5}^(3)`

as the approximate value of π is given

substitute:

`\displaystyle V_{ \text{sphere}} = (4)/(3) * 3.14 { * 1.5}^(3)`

we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction

so

simplify square:

`\displaystyle V_{ \text{sphere}} = (4)/(3) * 3.14 { * 3.375}`

reduce fraction:

`\rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} * 3.14 { * \cancel{ 3.375}} \: ^(1.125)`

`\displaystyle V_{ \text{sphere}} = 4* 3.14 * 1.125`

simplify multiplication:

`\displaystyle V_{ \text{sphere}} =14.13`

since we cubed the redious and the redious is in feet, we of course use cubic feet

`\displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^(3)`

Answer 2

`14.13`

Explanation:

V=
`(4)/(3)`
`\pi r^(3)`