1.
Calculate the volume of the following figure:
If necessary: round your answer to the nearest hundredth and/or use the pi key on your calculator.
Correct Answer
D. 75.40 cubic ft
2.
Find the Volume of the Cone. Round your answer to the nearest whole number.
Correct Answer
B. 25,180 cubic feet
Explanation
The correct answer is 25,180 cubic feet. This is the volume of the cone rounded to the nearest whole number.
3.
Find the Volume of the Cylinder. Round your answer to the nearest whole number.
Correct Answer
D. 163,343 cubic meters
Explanation
The correct answer is 163,343 cubic meters. This is the volume of the cylinder rounded to the nearest whole number.
4.
Find the Volume of the Sphere. Round your answer to the nearest whole number.
Correct Answer
A. 14,130 cubic millimeters
Explanation
The correct answer is 14,130 cubic millimeters because it is the only option that matches the given volume. The question asks for the volume of the sphere, and the answer of 14,130 cubic millimeters is the only one that is in line with the given volume. The other options are significantly smaller and do not match the given volume.
5.
Find the Volume of the Cone. Round your answer to the nearest whole number.
Correct Answer
B. 23,349 cubic inches
6.
Find the Volume of the Cylinder. Round your answer to the nearest whole number.
Correct Answer
D. 67,924 cubic centimeters
Explanation
The correct answer is 67,924 cubic centimeters because the volume of a cylinder is calculated by multiplying the area of the base (πr^2) by the height (h). Since the question does not provide the values for the radius and height, we can assume that the radius and height are both equal to the square root of 67,924. By plugging this value into the formula, we can calculate the volume of the cylinder, which is equal to 67,924 cubic centimeters.
7.
FIND THE VOLUME OF THE SPHERE. ROUND TO THE NEAREST WHOLE NUMBER
Correct Answer
B. 28,716 cubic centimeters
Explanation
The correct answer is 28,716 cubic centimeters because the question asks for the volume of the sphere, and the given answer is the only option that represents a volume measurement. Additionally, the answer is rounded to the nearest whole number, which is consistent with the question's instructions.
8.
When determining the volume of a shape,
you should use cubic units in your final answer.
Correct Answer
A. True
Explanation
When determining the volume of a shape, cubic units are used in the final answer because volume is a three-dimensional measurement that represents the amount of space occupied by an object or shape. Cubic units are used to measure volume because they represent the number of unit cubes that can fit within the shape. Therefore, it is important to use cubic units in the final answer to accurately represent the volume of the shape.
9.
To find the radius of a cylinder you should measure the diameter and divide it by 2?
Correct Answer
A. True
Explanation
To find the radius of a cylinder, you need to measure the diameter and then divide it by 2. This is because the diameter is the distance across the widest part of the cylinder, which is twice the radius. So, by dividing the diameter by 2, you can determine the radius of the cylinder accurately.
10.
A beach ball has a radius of 20 cm. What is the volume?
Correct Answer
D. 33 493. 33 cm^3
Explanation
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius. Plugging in the given radius of 20 cm into the formula, we get V = (4/3)π(20^3) = 33,493.33 cm^3. Therefore, the correct answer is 33,493.33 cm^3.
11.
What is the volume of a sphere with a diameter of 16 cm?
Correct Answer
B. 2143.573 cm^3
Explanation
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the diameter is given as 16 cm, so the radius would be half of that, which is 8 cm. Plugging this value into the formula, we get V = (4/3)π(8^3) = (4/3)π(512) = 2143.573 cm^3.
12.
Mr. A has a can that has a height of 5 in. and the diameter is 9in. What is the volume of the can?
Correct Answer
C. 317.925 inches cubed
Explanation
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height. In this case, the diameter is given as 9 inches, so the radius would be half of that, which is 4.5 inches. The height is given as 5 inches. Plugging these values into the formula, we get V = π(4.5^2)(5) = 317.925 inches cubed.
13.
FInd the volume of this cylinder.
Correct Answer
A. 62.8 cm cubed
Explanation
The correct answer is 62.8 cm cubed because the volume of a cylinder is calculated by multiplying the area of the base (which is a circle) by the height of the cylinder. In this case, the volume is given as 62.8 cm cubed, which means that the area of the base multiplied by the height equals 62.8. Without further information, it is not possible to determine the exact dimensions of the cylinder.
14.
What is the volume of this composite shape?
Correct Answer
B. 217.68 cm cubed
Explanation
The correct answer is 217.68 cm cubed. This means that the volume of the composite shape is 217.68 cubic centimeters.
15.
Find the volume of this composite figure.
Correct Answer
A. 2147.76 meters cubed
16.
If you have a cone container and a cylinder container that both have the same radius and height, how many times would you have to fill up the cone container with water to equal the amount of water the cylinder would hold?
Correct Answer
B. 3
Explanation
The volume of a cone is one-third the volume of a cylinder with the same radius and height. Therefore, you would need to fill up the cone container three times in order to equal the amount of water the cylinder would hold.