Volume Of A Cone + Cylinder + Sphere

1) When determining the volume of a shape, you should use cubic units in your final answer.

True

False

When determining the volume of a shape, it is important to use cubic units in the final answer because volume is a three-dimensional measurement that represents the amount of space occupied by an object. Cubic units are used to measure volume because they represent the volume of a cube with sides of one unit length. By using cubic units, we ensure that the answer represents the actual volume of the shape in three dimensions.

Explanation

When determining the volume of a shape, it is important to use cubic units in the final answer because volume is a three-dimensional measurement that represents the amount of space occupied by an object. Cubic units are used to measure volume because they represent the volume of a cube with sides of one unit length. By using cubic units, we ensure that the answer represents the actual volume of the shape in three dimensions.

2)

Find the Volume of the Cone. Round your answer to the nearest whole number.

2,334 cubic inches

23,349 cubic inches

898 cubic inches

708 cubic inches

The correct answer is 23,349 cubic inches because it is the only option that is rounded to the nearest whole number. The other options are not rounded and therefore do not meet the criteria of the question.

Explanation

The correct answer is 23,349 cubic inches because it is the only option that is rounded to the nearest whole number. The other options are not rounded and therefore do not meet the criteria of the question.

3) Find the Volume of the Cone. Round your answer to the nearest whole number.

933 cubic feet

25,180 cubic feet

679,850 cubic feet

20,602 cubic feet

The correct answer is 25,180 cubic feet. This is the volume of the cone, rounded to the nearest whole number.

Explanation

The correct answer is 25,180 cubic feet. This is the volume of the cone, rounded to the nearest whole number.

4)

Find the Volume of the Sphere. Round your answer to the nearest whole number.

14,130 cubic millimeters

1,413 cubic millimeters

63 cubic millimeters

942 cubic millimeters

The volume of a sphere is calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, since the answer is given in cubic millimeters, we can assume that the units are already in millimeters. Therefore, the volume of the sphere is 14,130 cubic millimeters.

Explanation

The volume of a sphere is calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, since the answer is given in cubic millimeters, we can assume that the units are already in millimeters. Therefore, the volume of the sphere is 14,130 cubic millimeters.

5)

FIND THE VOLUME OF THE SPHERE. ROUND TO THE NEAREST WHOLE NUMBER

1,511 cubic centimeters

28,716 cubic centimeters

80 cubic centimeters

2,871 cubic centimeters

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Explanation

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6) If the radius of a circle is 17 cm, then the diameter of the circle is 34 cm. If the diameter is 34 cm, then circumference of the circle is approximately 107 cm. Determine if both statements are TRUE or FALSE.

True

False

The first statement is true because the diameter of a circle is always twice the length of its radius. Since the radius is given as 17 cm, the diameter would be 2 * 17 cm = 34 cm, which matches the second statement. Therefore, both statements are true.

Explanation

The first statement is true because the diameter of a circle is always twice the length of its radius. Since the radius is given as 17 cm, the diameter would be 2 * 17 cm = 34 cm, which matches the second statement. Therefore, both statements are true.

7) Volume of a Cone =

r

True

False

The given statement is false. The correct formula for the volume of a cone is (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. The statement provided does not include the height of the cone, so it is not a correct formula for finding the volume of a cone.

Explanation

The given statement is false. The correct formula for the volume of a cone is (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. The statement provided does not include the height of the cone, so it is not a correct formula for finding the volume of a cone.

8) Volume of a Sphere = 4.3 rr r

True

False

The given answer is false because the formula for the volume of a sphere is incorrect. The correct formula for the volume of a sphere is (4/3)πr³, where r is the radius of the sphere. The given formula, 4.3rr, does not represent the correct calculation for the volume of a sphere. Therefore, the answer is false.

Explanation

The given answer is false because the formula for the volume of a sphere is incorrect. The correct formula for the volume of a sphere is (4/3)πr³, where r is the radius of the sphere. The given formula, 4.3rr, does not represent the correct calculation for the volume of a sphere. Therefore, the answer is false.

9)

Find the Volume of the Cylinder. Round your answer to the nearest whole number.

2,123 cubic centimeters

2,612cubic centimeters

67,924 centimeters

67,924 cubic centimeters

The given answer, 67,924 cubic centimeters, is the correct answer for finding the volume of the cylinder. The volume of a cylinder is calculated by multiplying the area of the base (which is usually a circle) by the height of the cylinder. Since the question does not provide any specific measurements for the radius or height of the cylinder, it is not possible to calculate the exact volume. However, the answer is rounded to the nearest whole number, so 67,924 cubic centimeters is the closest whole number approximation for the volume of the cylinder.

Explanation

The given answer, 67,924 cubic centimeters, is the correct answer for finding the volume of the cylinder. The volume of a cylinder is calculated by multiplying the area of the base (which is usually a circle) by the height of the cylinder. Since the question does not provide any specific measurements for the radius or height of the cylinder, it is not possible to calculate the exact volume. However, the answer is rounded to the nearest whole number, so 67,924 cubic centimeters is the closest whole number approximation for the volume of the cylinder.