The volume of the cone is 6 cm3. What is the volume of a cylinder that has the same base and the same height as this cone?
| March 2, 2021 | education
The volume of a cylinder is equal to the product of the area of the base and the height.
Let’s write it in the form of a formula.
Vts = S * h.
The volume of the cone is equal to one third of the product of the base area and the height.
Let’s write it in the form of a formula.
Vк = S * h * (1/3).
It is known that the base areas and heights of the given cylinder and cone are equal. Substitute the volume of the cylinder from the previous formula into the expression for the area of the cone.
Vk = Vts * (1/3).
Vc = 3 * Vk.
It is known that the volume of the cone is 6 cm3. Substitute and calculate.
Vts = 3 * 6 = 18 cm3.
Answer: the volume of the cylinder is 18 cm3.
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