Question

Use the figure below to answer the questions.

Answer 1

Answer:

d. Sphere

e. V= $\frac{4}{3} \pi r^{3}$

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= $\frac{4}{3} \pi r^{3}$

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 = $\frac{4}{3}\pi r^{3}.$

Or volume = $\frac{4}{3}\pi 9^{3}=(\frac{4}{3})(\frac{22}{7})(9^{3})$

                 = $(\frac{4}{3})(3.14)(729) = 3052 cm^{3}$

Answer 2

Answer:

2.d. What is the name of the 3D shape?

Sphere

2.e. What is the formula for volume for this shape?

$V=\frac{4}{3} \pi r^{3}$

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:

$V=\frac{4}{3}\pi (9 cm)^{3}\\ V=\frac{4}{3}\pi (729 cm^{3})\\ V=4\pi (243cm^{3})\\ V=972\pi cm^{3}$