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

Question

asked Mar 6, 2022 126k views

2 Answers

Josh Knechtel · Answer 1 · 2022-03-07T19:17:01+0000

Answer:

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

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

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