oblique cone. height 9 in., radius 5 in.
what is the volume of the cone? (1 point)
The volume of an oblique cone can be calculated using the formula:
Volume = (1/3) * π * r^2 * h,
where r is the radius and h is the height.
Using the given values, we have:
Volume = (1/3) * π * (5^2) * 9
Volume = (1/3) * π * 25 * 9
Volume = (1/3) * π * 225
Volume ≈ 235.62 cubic inches
Therefore, the volume of the cone is approximately 235.62 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 pi
To find the volume of the chocolate cone, we can use the formula:
Volume = (1/3) * π * r^2 * h,
where r is the radius and h is the height.
We are given the diameter, which is 2 cm. The radius is half the diameter, so the radius is 2 cm / 2 = 1 cm. The height is 6 cm.
Using the values, we have:
Volume = (1/3) * 3.14 * (1^2) * 6
Volume = (1/3) * 3.14 * 1 * 6
Volume = (1/3) * 3.14 * 6
Volume = (1/3) * 18.84
Volume ≈ 6.28 cm^3
Therefore, approximately 6.28 cm^3 of chocolate is needed to make a solid chocolate cone.
a sand castle mold is in the shape of a cone, with a diameter of 4 meters and a height of 6 meters. what volume of sand is needed to fill the mold? use 3.14 for pi
To find the volume of the sand cone, we can use the formula:
Volume = (1/3) * π * r^2 * h,
where r is the radius and h is the height.
We are given the diameter, which is 4 meters. The radius is half the diameter, so the radius is 4 m / 2 = 2 meters. The height is 6 meters.
Using the values, we have:
Volume = (1/3) * 3.14 * (2^2) * 6
Volume = (1/3) * 3.14 * 4 * 6
Volume = (1/3) * 3.14 * 24
Volume ≈ 25.12 cubic meters
Therefore, approximately 25.12 cubic meters of sand is needed to fill the sand castle mold.
a hanging flower vase is in the shape of a cone with a radius of 5 inches and a height of 15 inches. what volume of water can the flower vase hold? use 3.14 for pi
To find the volume of the flower vase, we can use the formula:
Volume = (1/3) * π * r^2 * h,
where r is the radius and h is the height.
We are given the radius, which is 5 inches. The height is 15 inches.
Using the values, we have:
Volume = (1/3) * 3.14 * (5^2) * 15
Volume = (1/3) * 3.14 * 25 * 15
Volume = (1/3) * 3.14 * 375
Volume ≈ 3927.5 cubic inches
Therefore, the hanging flower vase can hold approximately 3927.5 cubic inches of water.