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

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)`