Use the image to answer the question.
Which figures have a volume greater than 600 cubic inches? Choose all that apply.
Use 3.14 for pi.
(2 points)
Responses
Cylinder
Cylinder
Cone
Cone
Sphere
Sphere
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3 answers
Since the image is missing, I cannot determine which figures have a volume greater than 600 cubic inches. Please provide the image or describe the figures in the image.
the cylinder has a radius of 6 in and a height of 15 in the cone has a height of 15 in and a radius of 6 in the spere has a radius of 6 n
To determine which figures have a volume greater than 600 cubic inches, we can use the formulas for the volume of each figure.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Substituting the given values, V = 3.14 * 6^2 * 15 = 3.14 * 36 * 15 = 1695.6 cubic inches.
Since the volume of the cylinder is greater than 600 cubic inches, the cylinder has a volume greater than 600 cubic inches.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values, V = (1/3) * 3.14 * 6^2 * 15 = (1/3) * 3.14 * 36 * 15 = 565.2 cubic inches.
Since the volume of the cone is less than 600 cubic inches, the cone does not have a volume greater than 600 cubic inches.
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius.
Substituting the given values, V = (4/3) * 3.14 * 6^3 = (4/3) * 3.14 * 216 = 904.32 cubic inches.
Since the volume of the sphere is less than 600 cubic inches, the sphere does not have a volume greater than 600 cubic inches.
In conclusion, only the cylinder has a volume greater than 600 cubic inches.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Substituting the given values, V = 3.14 * 6^2 * 15 = 3.14 * 36 * 15 = 1695.6 cubic inches.
Since the volume of the cylinder is greater than 600 cubic inches, the cylinder has a volume greater than 600 cubic inches.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values, V = (1/3) * 3.14 * 6^2 * 15 = (1/3) * 3.14 * 36 * 15 = 565.2 cubic inches.
Since the volume of the cone is less than 600 cubic inches, the cone does not have a volume greater than 600 cubic inches.
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius.
Substituting the given values, V = (4/3) * 3.14 * 6^3 = (4/3) * 3.14 * 216 = 904.32 cubic inches.
Since the volume of the sphere is less than 600 cubic inches, the sphere does not have a volume greater than 600 cubic inches.
In conclusion, only the cylinder has a volume greater than 600 cubic inches.
1 answer