Question

Use the image to answer the question.
cylinder
15in
6in
cone
15in
6in
sphere
6in
Which figures have a volume greater than 600 cubic inches? Choose all that apply.

Use 3.14 for pi.

Responses

Cylinder


Cone


Sphere

Answer 1

wrong show work

Answer 2

Cylinder and Cone

Answer 3

To calculate the volume of a cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.

For the cylinder:
Radius = 15in / 2 = 7.5in
Height = 6in
V = π(7.5^2)(6) = 1069.62 cubic inches

For the cone:
Radius = 15in / 2 = 7.5in
Height = 6in
V = (1/3)π(7.5^2)(6) = 282.74 cubic inches

For the sphere:
Radius = 6in
V = (4/3)π(6^3) = 904.78 cubic inches

So, the figures that have a volume greater than 600 cubic inches are:

Cylinder (1069.62 cubic inches)
Sphere (904.78 cubic inches)