Question

Drag each statement to the correct location on the table.

Classify the shapes based on their volumes.
a cone with a radius of 12 units
and a height of 6 units
a cylinder with a diameter of 12 units
and a height of 27 units
a sphere with a diameter of 12 units
a cylinder with a diameter of 8 units
and a height of 18 units
a sphere with a radius of 9 units
a cone with a diameter of 18 units
and a height of 36 units
288 7
972 T​

Answer 1

1)a cone with a radius of 12 units

and a height of 6 units has a volume of =904.78

a sphere with a diameter of 12 units has a volume of =904.78

a cylinder with a diameter of 8 units

and a height of 18 units has a volume of =904.78

2)a cylinder with a diameter of 12 units

and a height of 27 units has a volume of =3053

a sphere with a radius of 9 units has a volume of =3053

a cone with a diameter of 18 units

and a height of 36 units has a volume of =3053

Step-by-step explanation:

Answer 2

288 x 3.14 :

cone with radius=12 height= 6

sphere with diameter= 12

cylinder with diameter= 8 height=18

972 x 3.14 :

cone with diameter=18 height=36

cylinder with diameter= 12 height=27

sphere with radius=9

Step-by-step explanation:

REMEMBER: radius is half of diameter. To find the radius, simply divide the diameter by 2. To find the diameter, multiply the radius by 2.

To find the volume of a:

Cone: V=1/3 x 3.14 r^2 h

REMEMBER: A cones volume is 1/3 of a cylinders volume with the same radius and height

Cylinder: V=3.14 r^2 h

Sphere: V=4/3 x 3.14 r^2 h

REMEMBER: Spheres have no height. To find the volume, we just need to know its radius. There's a relationship between the volume of a cylinder and sphere with the same radius. This relationship only exists is the cylinder and sphere have the same radius and the height is 2x the radius. If this holds true, the volume is 2/3 of the volume of the cylinder.

I hope this helps! If you need any more help on this, please let me know! Have a great day :)