Question

The diameter of a sphere is 4 centimeters.

What is the volume of the sphere?

Use 3.14 for pi.

Enter your answer, as a decimal, in the box. Round only your final answer to the nearest tenth.


cm³

Answer 1

The answer is actually 33.5 (Apologies for the late answer)

Explanation:

The below answer forgot the fact that the diameter is 2 times the radius, so they multiplied the cube of the diameter instead of the cube of the radius. By these means, the problem comes out like so:

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

`V = (4)/(3)(3.14)(2^3)\\\\V=(4)/(3)(3.14)(8)\\\\V=(4)/(3)(25.12)\\\\V=(100.48)/(3)\\\\V=33.493333...\\`

And now the problem wished for us to round the volume to the nearest tenth, so we must round up 33.493333... to 33.5 cubic centimeters.

Answer 2

The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.

V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.