The volume of the cylinder is 12 cm3. What is the volume of a cone that has the same base
| June 9, 2021 | education
The volume of the cylinder is 12 cm3. What is the volume of a cone that has the same base and the same height as this cylinder?
The volume of a cylinder is equal to the product of the base area by the height:
Vts = Sosn * h.
The volume of the cone is equal to one third of the product of the base area by the height:
Vk = 1/3 * Sosn * h.
Since the base of the cone and cylinder are equal, it means that the areas of their bases are equal. The height of the cone is also equal to the height of the cylinder. Consequently, the volume of the cone is equal to one third of the volume of the cylinder.
Vk = 1/3 * Vts = 1/3 * 12 = 4 (cm3).
Answer: the volume of the cone is 4 cm3.
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