Question

Draw a line connecting each sphere to its volume in terms of π and round it to the nearest tenth. (Not all of the values will be used.)

Answer 1

Remember that

The volume of a sphere is equal to

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

N 1

we have

D=9 units

r=9/2=4.5 units

substitute

`\begin{gathered} V=(4)/(3)\pi(4.5)^3 \\ V=121.5\pi\text{ unit3} \\ V=381.5\text{ unit3} \end{gathered}`

N 2

we have

r=2 units

`\begin{gathered} V=(4)/(3)\pi2^3 \\ V=10.6\pi\text{ unit3} \\ V=33.5\text{ unit3} \end{gathered}`

N 3

we have

D=14 units

r=14/2=7 units

`\begin{gathered} V=(4)/(3)\pi7^3 \\ V=457.3\pi\text{ unit3} \\ V=1,436\text{ unit3} \end{gathered}`

N 4

we have

r=9 units

`\begin{gathered} V=(4)/(3)\pi9^3 \\ V=972\pi\text{ unit3} \\ V=3,052.1\text{ unit3} \end{gathered}`