where "r" is the radius of the base of the cone, "h" is the height of the cone, and π is the mathematical constant pi (approximately 3.14159).
Substituting the given values, we get:
V = (1/3)π(2cm)^2(5cm)
V = (1/3)π(4cm^2)(5cm)
V = (1/3)π(20cm^3)
V = (20/3)π cm^3
Therefore, the volume of the cone is (20/3)π cubic centimeters, which is approximately 20.94 cubic centimeters if we use the approximation π ≈ 3.14159.
Answers & Comments
Answer:
(20/3)π cubic centimeters or 20.94 cubic centimeters
Step-by-step explanation:
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Substituting the given values, we have:
V = (1/3)π(2cm)^2(5cm)
V = (1/3)π(4cm^2)(5cm)
V = (1/3)π(20cm^3)
V = (20/3)π cm^3
Therefore, the volume of the cone is (20/3)π cubic centimeters or approximately 20.94 cubic centimeters (rounded to two decimal places).
Answer:
The formula for the volume of a cone is:
V = (1/3)πr^2h
where "r" is the radius of the base of the cone, "h" is the height of the cone, and π is the mathematical constant pi (approximately 3.14159).
Substituting the given values, we get:
V = (1/3)π(2cm)^2(5cm)
V = (1/3)π(4cm^2)(5cm)
V = (1/3)π(20cm^3)
V = (20/3)π cm^3
Therefore, the volume of the cone is (20/3)π cubic centimeters, which is approximately 20.94 cubic centimeters if we use the approximation π ≈ 3.14159.