Question
What is the approximate volume of a cone that measures 7cm by 10 cm which answer answers the question best? A. 70cm^3 B. 183cm^3 C. 549cm^3 D. 733cm^3
Answers
GPT 3.5
B. 183cm^3
To calculate the volume of a cone, you can use the formula V = (1/3)πr^2h where r is the radius of the base of the cone and h is the height.
In this case, the radius (half of the diameter) is 7cm/2 = 3.5cm and the height is 10cm.
Plugging these values into the formula:
V = (1/3)π(3.5)^2(10)
V = (1/3)π(12.25)(10)
V = (1/3)(122.5)π
V ≈ 183cm^3
Therefore, the closest answer is B. 183cm^3.
To calculate the volume of a cone, you can use the formula V = (1/3)πr^2h where r is the radius of the base of the cone and h is the height.
In this case, the radius (half of the diameter) is 7cm/2 = 3.5cm and the height is 10cm.
Plugging these values into the formula:
V = (1/3)π(3.5)^2(10)
V = (1/3)π(12.25)(10)
V = (1/3)(122.5)π
V ≈ 183cm^3
Therefore, the closest answer is B. 183cm^3.