Eighth grade > T.14 Volume of spheres QX7 What is the volume of this sphere? Use a ~ 3.14 and round your answer to the nearest hundredth. 18 cm cubic centimeters Submit Docs

Respuesta :

hello

to solve this question, we need to use the formula for volume of a sphere

[tex]\begin{gathered} v=\frac{4}{3}\pi r^3 \\ v=\text{volume} \\ r=\text{radius} \end{gathered}[/tex]

from the image above, we can now find the radius of the sphere

[tex]\begin{gathered} radius=\frac{\text{diameter}}{2} \\ d=18\operatorname{cm} \\ r=9\operatorname{cm} \end{gathered}[/tex][tex]\begin{gathered} v=\frac{4}{3}\pi r^3 \\ v=\frac{4}{3}\times3.14\times9^3 \\ v=3052.08\operatorname{cm}^3 \end{gathered}[/tex]

from the calculations above, the volume of the sphere is equal to 3052.08cm^3

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