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
Cylinder and Cone
wrong show work
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)