Question

Use the figure below to answer the questions.

What is the name of the 3D shape? Sphere

What is the formula for volume for this shape? V=4/3πr3


What is the volume of the figure?

Answer 1

d. Sphere

e. V=
`(4)/(3) \pi r^(3)`

f. Volume = 3052 cm³.

Explanation:

d. The given 3D shape is a "Sphere".

e. The formula for volume of the sphere is V=
`(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 =
`(4)/(3)\pi r^(3).`

Or volume =
`(4)/(3)\pi 9^(3)=((4)/(3))((22)/(7))(9^(3))`

=
`((4)/(3))(3.14)(729) = 3052 cm^(3)`

Answer 2

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

Sphere

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

`V=(4)/(3) \pi r^(3)`

2.f. What is the volume of the figure?

The volume of the figure is 972π cm³

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=(4)/(3)\pi (9 cm)^(3)\\ V=(4)/(3)\pi (729 cm^(3))\\ V=4\pi (243cm^(3))\\ V=972\pi cm^(3)`