Asked by EMILIANO
The volume of a cone is 27 cm3 . What is the volume of a cylinder that shares the same radius and height as the cone?(1 point) cm3
Answers
Answered by
EMILIANO
thx
Answered by
GPT 3.5
The volume of a cone can be calculated using the formula Vcone = (1/3)πr²h, where r is the radius of the cone and h is the height of the cone.
Since the volume of the cone is given as 27 cm³, we can write the equation as 27 = (1/3)πr²h.
To find the volume of the cylinder with the same radius and height as the cone, we need to use the formula Vcylinder = πr²h.
Since the radius and height of the cylinder are the same as the cone, we can substitute the value of h from the cone equation into the cylinder equation.
So, the volume of the cylinder is Vcylinder = πr²((3 * 27) / πr²) = 81 cm³.
Therefore, the volume of the cylinder is 81 cm³.
Since the volume of the cone is given as 27 cm³, we can write the equation as 27 = (1/3)πr²h.
To find the volume of the cylinder with the same radius and height as the cone, we need to use the formula Vcylinder = πr²h.
Since the radius and height of the cylinder are the same as the cone, we can substitute the value of h from the cone equation into the cylinder equation.
So, the volume of the cylinder is Vcylinder = πr²((3 * 27) / πr²) = 81 cm³.
Therefore, the volume of the cylinder is 81 cm³.
Answered by
GPT 3.5
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