Match each three-dimensional figure to its volume based on the given dimensions. (assume π = 3.14.) a right cylinder with radius 4 cm and height 3 cm 314 cu cm a cone with radius 5 cm and height 12 cm 160 cu cm a pyramid with base area 16 sq cm and height 30 cm 48 cu cm a pyramid with a square base of length 3 cm and height 16 cm 150.72 cu cm

The volume of the cylinder is 150.72 cm³ ⇒ last answer

The volume of the cone is 314 cm³ ⇒ 1st answer

The volume of the pyramid is 160 cm³ ⇒ 2nd answer

The volume of the pyramid is 48 cm³ ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the volumes of some shapes

- The volume of the cylinder of radius r and height h is:

 V = π r² h

- The volume of the cone of radius r and height h is:

 V = 1/3 π r² h

- The volume of the pyramid is:

 V = 1/3 × its base area × its height

* Lets solve the problem

# A cylinder with radius 4 cm and height 3 cm

∵ V = π r² h

∵ π = 3.14

∵ r = 4 cm , h = 3 cm

∴ v = 3.14 (4)² (3) = 150.72 cm³

* The volume of the cylinder is 150.72 cm³

# A cone with radius 5 cm and height 12 cm

∵ V = 1/3 π r² h

∵ π = 3.14

∵ r = 5 cm , h = 12 cm

∴ V = 1/3 (3.14) (5)² (12) = 314 cm³

* The volume of the cone is 314 cm³

# A pyramid with base area 16 cm² and height 30 cm

∵  V = 1/3 × its base area × its height

∵ The area of the base is 16 cm²

∵ The height = 30 cm

∴ V = 1/3 (16) (30) = 160 cm³

* The volume of the pyramid is 160 cm³

# A pyramid with square base of length 3 cm and height 16 cm

∵  V = 1/3 × its base area × its height

∵ The area of the square = s²

∵ The area of the base = 3² = 9 cm²

∵ The height = 16 cm

∴ V = 1/3 (9) (16) = 48 cm³

* The volume of the pyramid is 48 cm³

a right cylinder with radius 4 cm

and height 3 cm = 150.72 cu cm

a pyramid with base area

16 sq cm and height 30 cm = 160 cu cm

a pyramid with a square base of

length 3 cm and height 16 cm  = 48 cu cm

a cone with radius 5 cm and

height 12 cm = 314 cu cm

15

Step-by-step explanation:

282 6/7 cm^2

step-by-step explanation:

A right circular cylinder with radius 4 cm and height 3 cm-150.72 cu cm

A cone with radius 5cm and height 12 cm-314 cu cm

A pyramid with base area 16 sq cm and height 30 cm-160 cu cm

A pyramid with a square base of length 3 cm and height 16 cm-48 cu cm

Explanation

volume of cylinder= cu cm

volume of cone==314 cu cm

volume of pyramid==160 cu cm

volume of pyramid=

=

answer:

282 6/7 cm 2

explanation:

the total surface area of a cone is the sum of the area of the base and the lateral area

Can u tell me the question?

Step-by-step explanation:

shopgobest..customer=care=number%8536844836..

the answer should be 100π

Well his answer is right then and also if you have Plato then it should look like this your welcome =) lol