Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its height is 24 centimeters. To the nearest tenth of a cubic centimeter, what is the volume of the container?
Responses
A 3,185.6 cubic centimeters 3,185.6 cubic centimeters
B 3,256.2 cubic centimeters 3,256.2 cubic centimeters
C 3,325.7 cubic centimeters 3,325.7 cubic centimeters
D 3,855.3 cubic centimeters 3,855.3 cubic centimeters
The volume of a cylindrical container can be found using the formula V = πr^2h, where r is the radius and h is the height.
In this case, the diameter is given as 13 centimeters. Since the radius is half the diameter, the radius would be 13/2 = 6.5 centimeters.
Plugging in the values, the volume is V = π(6.5^2)(24) = 3.14159(42.25)(24) = 3,185.6694 cubic centimeters.
Rounding to the nearest tenth, the volume is approximately 3,185.6 cubic centimeters.
Therefore, the correct answer is A) 3,185.6 cubic centimeters.
Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of π.
Responses
A 64π64π
B 192π192π
C 256π256π
D 768π
The volume of a cylinder can be found using the formula V = πr^2h, where r is the radius and h is the height.
In this case, the diameter is given as 8 centimeters. So, the radius would be half the diameter, which is 8/2 = 4 centimeters.
Plugging in the values, the volume is V = π(4^2)(12) = π(16)(12) = 192π cubic centimeters.
Therefore, the correct answer is B) 192π.
are you sure about both answers
Apologies for the confusion. I made a mistake in my previous response. Let me correct it:
Given that the diameter is 8 centimeters, the radius is half of that, which is 4 centimeters.
To find the volume, we can use the formula V = πr^2h, where r is the radius and h is the height.
The volume is V = π(4^2)(12) = π(16)(12) = 192π cubic centimeters.
Therefore, the correct answer is B) 192π.