Question

You can measure the diameter of a spherical object by putting the object on a flat surface and placing blocks or books on either side of the objectThe ruler is used to measure the distance between the blocks or books. The length on the ruler is 7.3 inches. Give the diameter and volume of the sphericalobject. Round the volume to the nearest tenth.Enter the correct answer in the box.

Answer 1

Solution:

Given that;

You can measure the diameter of a spherical object by putting the object on a flat surface and placing blocks or books on either side of the object.

The ruler is used to measure the distance between the blocks or books.

The length on the ruler is 7.3 inches, i.e. the diameter of the sphere is the length on the ruler

Hence, the diameter of the sphere is 7.3 inches

To find the radius, r, the formula is

$\begin{gathered} r=\frac{d}{2}=\frac{7.3}{2}=3.65\text{ in} \\ r=3.65\text{ in} \end{gathered}$

To find the volume, V, of a sphere, the formula is

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ Where\text{ r is the radius} \end{gathered}$

Substitute the value of r into the formula above

$\begin{gathered} V=\frac{4}{3}\times\pi\times3.65^3 \\ V=203.7\text{ in}^3\text{ \lparen nearest tenth\rparen} \end{gathered}$

Hence, the volume is 203.7 in³