Question

What is the volume of the sphere below

Answer 1

A.)
`(500)/(3) \pi units^3`

Explanation:

To find the volume of the sphere, you need to use the following equation:

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

In this equation, "V" represents the volume (units³) and "r" represents the radius (units). Since you have been given the value of the radius (r = 5 units), you can use it to solve the equation.

`V= (4)/(3) \pi r^3` <----- Volume equation

`V= (4)/(3) \pi (5)^3` <----- Plug 5 into "r"

`V= (4)/(3) \pi (125)` <----- Solve 5³

`V= (500)/(3) \pi` <----- Multiply
`(4)/(3)` and 125

Answer 2

`\sf A. \quad (500)/(3) \pi \:\:units^2`

Explanation:

Volume of a sphere

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

(where r is the radius)

From inspection of the given diagram:

• r = 5 units

Substitute the value of r into the equation and solve for V:

`\begin{aligned}\sf V & = \sf (4)/(3) \pi r^3\\\\\implies \sf V & = \sf (4)/(3) \pi (5)^3\\\\& = \sf (4)/(3) \pi (125)\\\\ & = \sf (4 \cdot 125)/(3) \pi\\\\& = \sf (500)/(3) \pi \:\:units^2\end{aligned}`