Question

The diameter, D, of a sphere is 8.4 mm. Calculate the sphere's volume, V.

Use the value 3.14 for a, and round your answer to the nearest tenth

Answer 1

73.8 cubic mm.

Explanation:

The volume of a square V is given by the formula:

`V= (4)/(3)\pi r^(2)` where r is the radius of the sphere.

We also know that the diameter is two times the radius, so in this case if the diameter is 8.4 mm, then the radius is 4.2 mm.

Now we substitute the information in the formula, taking into account that we are going to use the value of 3.14 for
`\pi`.

`V= (4)/(3)\pi r^(2)\\ V= (4)/(3)(3.14)(4.2)^(2) \\V=((4)(3.14)(17.64))/(3) \\V=(221.55)/(3)=73.8528`

Which rounded to the nearest tenth is 73.8. Thus, the sphere's volume is 73.8 cubic mm.

Answer 2

V = 310.2 mm³

Explanation:

The formula for volume of a sphere is given as:

V = 4/3 * π * r³

where r is the radius of the sphere.

We are given the diameter in the question. Diameter is twice the radius. So, radius = diameter/2

radius = 8.4/2

radius = 4.2 mm

V = 4/3 * π * r³

= 4/3 * 3.14 * (4.2)³

V = 310.181

V = 310.2 mm³