Use the image to answer the question.
An oblique cone shows a base radius of 9 inches. The perpendicular height is 5 inches from the apex to the base outside the cone. A right angle is formed outside the cone to the right. A dashed diagonal line connects the center of the circular base to the apex.
What is the volume of the cone? Use 3.14 for pi.
(1 point)
Responses
423.9 cubic inches
423.9 cubic inches
47.1 cubic inches
47.1 cubic inches
942 cubic inches
942 cubic inches
235.5 cubic inches
235.5 cubic inches
To find the volume of the cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Given that the base radius (r) is 9 inches and the perpendicular height (h) is 5 inches, we can substitute those values into the formula:
Volume = (1/3) * π * 9^2 * 5
Volume = (1/3) * π * 81 * 5
Volume = (1/3) * π * 405
Volume ≈ 423.9 cubic inches
So the correct answer is 423.9 cubic inches.
A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in the shape of a cone and has a diameter of 2 cm and a height of 6 cm. What volume of chocolate, in cubic centimeters, is needed to make a solid chocolate cone? Use 3.14 for π
.(1 point)
Responses
12.56 cubic centimeters
12.56 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
6.28 cubic centimeters
To find the volume of the cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Given that the diameter of the base is 2 cm, the radius (r) can be calculated as half of the diameter: r = 2 cm / 2 = 1 cm. The height (h) of the cone is given as 6 cm.
Substituting these values into the formula:
Volume = (1/3) * π * (1 cm)^2 * 6 cm
Volume = (1/3) * π * 1 cm^2 * 6 cm
Volume = (1/3) * π * 6 cm^3
Volume ≈ 12.56 cubic centimeters
So the correct answer is 12.56 cubic centimeters.