Question

Is it 21 cm 10 cm 11 cm or 21.5 cmThe table shows the diameter volume of 5200 cm³ what is the best estimate for the diameter of a bowling ballAnswer choice

Answer 1

21.5 cm

Explanation:

We have that the formula for the volume of a sphere is the following:

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

We replace the value of the volume to calculate the radius, like this:

`\begin{gathered} 5200=(4)/(3)\cdot3.14\cdot r^3 \\ r^3=5200\cdot(3)/(4\cdot3.14) \\ r=\sqrt[3]{1242.04} \\ r=10.75 \end{gathered}`

We know that the diameter is twice the radius, therefore:

`\begin{gathered} d=2\cdot10.75=21.5 \\ d=21.5\text{ cm} \end{gathered}`

The diameter of a bowling ball is 21.5 cm