what is the volume of a cone with a diameter of 20 cm and a height of 15 cm?

1,570 cubic centimeters
2,355 cubic centimeters
6,280 cubic centimeters
314 cubic centimeters

9 answers

The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14159, r is the radius, and h is the height.

Since the diameter is given as 20 cm, the radius (r) is half of that, which is 10 cm.

Plugging in the values, we get:
V = (1/3) * 3.14159 * 10^2 * 15
V = (1/3) * 3.14159 * 100 * 15
V = 3.14159 * 100 * 5
V = 3141.59 cubic centimeters

Thus, the volume of the cone is approximately 3141.59 cubic centimeters.

The closest option from the given choices is 314 cubic centimeters.
what is the volume of the cone the picture shows a tilted cone with a radius of 5 inches and a height of 9 in.

47.1 cubic inches
942 inches
423.9cubic inches
235.5 cubic inches
The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14159, r is the radius, and h is the height.

Plugging in the given values, we get:
V = (1/3) * 3.14159 * 5^2 * 9
V = (1/3) * 3.14159 * 25 * 9
V = (1/3) * 3.14159 * 225
V = 3.14159 * 225 / 3
V = 235.5 cubic inches

Therefore, the volume of the cone is 235.5 cubic inches.

The closest option from the given choices is 235.5 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

12.56 cubic centimeters
6.28 cubic centimeters
18.84 cubic centimeters
37.68 cubic centimeters
The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

Since the diameter is given as 2 cm, the radius (r) is half of that, which is 1 cm. The height (h) is given as 6 cm.

Plugging in the values, we get:
V = (1/3) * 3.14 * 1^2 * 6
V = (1/3) * 3.14 * 1 * 1 * 6
V = (1/3) * 3.14 * 6
V ≈ 6.28 cubic centimeters

Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 6.28 cubic centimeters.

The closest option from the given choices is 6.28 cubic centimeters.
A sandcastle 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 π .

150.72 cubic meters
25.12 cubic meters
100.48 cubic meters
75.36 cubic meters
The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

Since the diameter is given as 4 meters, the radius (r) is half of that, which is 2 meters. The height (h) is given as 6 meters.

Plugging in the values, we get:
V = (1/3) * 3.14 * 2^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = (1/3) * 3.14 * 24
V ≈ 25.12 cubic meters

Therefore, the volume of sand needed to fill the mold is approximately 25.12 cubic meters.

The closest option from the given choices is 25.12 cubic meters.
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

78.5 cubic inches
1,177.5 cubic inches
1,570 cubic inches
392.5 cubic inches
The volume of a cone can be calculated using the formula V = (1/3) * pi * r^2 * h, where V is the volume, pi is approximately 3.14, r is the radius, and h is the height.

Plugging in the given values, we get:
V = (1/3) * 3.14 * 5^2 * 15
V = (1/3) * 3.14 * 25 * 15
V = (1/3) * 3.14 * 375
V = 3.14 * 375 / 3
V = 392.5 cubic inches

Therefore, the hanging flower vase can hold approximately 392.5 cubic inches of water.

The closest option from the given choices is 392.5 cubic inches.