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What is the radius of a circle with an area of 78.5 cubic inches? Use 3.14 for pi. Enter your answer in the box.


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WILL MARK BRAINLIEST

Respuesta :

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=78.5 \end{cases}\implies 78.5=\pi r^2\implies \cfrac{78.5}{\pi }=r^2 \\\\\\ \sqrt{\cfrac{78.5}{\pi }}=r\implies 4.9987\approx r[/tex]

Answer:

5 inches

Step-by-step explanation:

Given : A circle with an area of 78.5 cubic inches .

To Find: What is the radius of a circle with an area of 78.5 cubic inches?

Solution :

Formula of area of circle:

[tex]\pi r^{2}[/tex]

where r is the Radius of circle

Since we are given thet the area of circle 78.5 cubic inches

Using the above formula :

[tex]78.5=\pi r^{2}[/tex]

Using π =3.14

[tex]78.5=3.14*r^{2}[/tex]

[tex]\frac{78.5}{3.14} =r^{2}[/tex]

[tex]25=r^{2}[/tex]

[tex]\sqrt{25} =r[/tex]

[tex]r=5[/tex]

Thus , 5 inches is the radius of a circle with an area of 78.5 cubic inches