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What is the volume of the sphere below

What is the volume of the sphere below-example-1
User Justdvl
by
8.5k points

2 Answers

1 vote

Answer:

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

User Suppie
by
8.4k points
7 votes

Answer:


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

User INS
by
8.3k points

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