Ask Question
30 June, 16:04

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

+4
Answers (2)
  1. 30 June, 18:41
    0
    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
  2. 30 June, 18:54
    0
    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
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “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 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers