Answer:
2.d. What is the name of the 3D shape?
Sphere
2.e. What is the formula for volume for this shape?
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
2.f. What is the volume of the figure?
The volume of the figure is 972π cm³
Step-by-step explanation:
2.f. What is the volume of the figure?
According with the figure, we have the radius r=9 cm. Replacing this value in the formula of the volume:
[tex]V=\frac{4}{3}\pi (9 cm)^{3}\\ V=\frac{4}{3}\pi (729 cm^{3})\\ V=4\pi (243cm^{3})\\ V=972\pi cm^{3}[/tex]
Answer:
d. Sphere
e. V= [tex]\frac{4}{3} \pi r^{3}[/tex]
f. Volume = 3052 cm³.
Step-by-step explanation:
d. The given 3D shape is a "Sphere".
e. The formula for volume of the sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]
In which "r" is the radius of the given sphere.
f. In the given sphere radius given is 9 cm
Therefore the volume of this sphere = [tex]\frac{4}{3}\pi r^{3}.[/tex]
Or volume = [tex]\frac{4}{3}\pi 9^{3}=(\frac{4}{3})(\frac{22}{7})(9^{3})[/tex]
= [tex](\frac{4}{3})(3.14)(729) = 3052 cm^{3}[/tex]
