Question

* 11.6.19 Find the volume of the sphere shown to the right. Give an answer in terms of t and rounded to the nearest cubic unit. 12 in The exact volume is in (Simplify your answer. Type an exact answer in terms of .)

Answer 1

To find the volume of the sphere use the following formula:

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

Where V is the volume and r is the radius. Use the given diameter to find the radius (radius is half the diameter):

`\begin{gathered} r=(D)/(2) \\ r=(12)/(2) \\ r=6 \end{gathered}`

Now, use this value to find the volume of the sphere:

`\begin{gathered} V=(4)/(3)\pi(6^3) \\ V=(4)/(3)\cdot216\cdot\pi \\ V=288\pi \end{gathered}`

The answer is 288pi in^3.

The approximate volume would be:

`\begin{gathered} V=288\pi \\ V=288(3.14) \\ V=904.32 \end{gathered}`

The approximate volume is 904.32, rounded to the nearest cubic inch it is 904.