Ask Question
27 December, 12:38

A square pyramid and a cone have the same base area. The volume of the cone is 100cm^3, and the height of the cone is 15 cm. The height of the square pyramid is 24 cm. Find the volume of the square pyramid to the nearest whole unit.

+5
Answers (1)
  1. 27 December, 15:40
    0
    160 cm³

    Step-by-step explanation:

    1. Calculate the base area of the cone

    The volume for the volume (V) of a cone is

    V = ⅓Ah

    dа ta:

    V = 100 cm³

    h = 15 cm

    Calculation:

    100 = ⅓ A * 15

    100 = 5A

    A = 100/5 = 20 cm²

    2. Volume of Pyramid.

    The volume for the volume (V) of a square pyramid is

    V = ⅓Ah

    dа ta:

    A = 20 cm²

    h = 24 cm

    Calculation:

    V = ⅓ * 20 * 24 = 160 cm³

    The volume of the square pyramid is 160 cm³.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A square pyramid and a cone have the same base area. The volume of the cone is 100cm^3, and the height of the cone is 15 cm. The height of ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers