Question
oblique cone. height 9 in., radius 5 in.
what is the volume of the cone? (1 point)
what is the volume of the cone? (1 point)
Answers
Answer
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
Answer
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
Answer
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
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.