The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
The radius of the cone is half of the diameter, so the radius is 20 cm / 2 = 10 cm.
Plugging the values into the formula, V = (1/3)π(10 cm)^2(15 cm) = (1/3)π(100 cm^2)(15 cm) = (1/3)(3.14159)(100 cm^2)(15 cm) = 1571.59 cm^3.
Therefore, the volume of the cone is approximately 1571.59 cubic centimeters.
Using estimation, the closest answer is A. 1,570 cubic centimeters.
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
A. 1,570 cubic centimeters
B. 2,355 cubic centimeters
C. 6,280 cubic centimeters
D. 314 cubic centimeters
9 answers
What is the volume of the cone?
height = 9 in
radius = 5 in
A. 942 cubic inches
B. 47.1 cubic inches
C. 235.5 cubic inches
D. 423.9 cubic inches
height = 9 in
radius = 5 in
A. 942 cubic inches
B. 47.1 cubic inches
C. 235.5 cubic inches
D. 423.9 cubic inches
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging the given values into the formula, V = (1/3)π(5 in)^2(9 in) = (1/3)π(25 in^2)(9 in) = (1/3)(3.14159)(25 in^2)(9 in) = 942.48 in^3.
Therefore, the volume of the cone is approximately 942.48 cubic inches.
The closest answer is A. 942 cubic inches.
Plugging the given values into the formula, V = (1/3)π(5 in)^2(9 in) = (1/3)π(25 in^2)(9 in) = (1/3)(3.14159)(25 in^2)(9 in) = 942.48 in^3.
Therefore, the volume of the cone is approximately 942.48 cubic inches.
The closest answer is A. 942 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 .
A. 6.28 cubic centimeters
B. 37.68 cubic centimeters
C. 12.56 cubic centimeters
D. 18.84 cubic centimeters
A. 6.28 cubic centimeters
B. 37.68 cubic centimeters
C. 12.56 cubic centimeters
D. 18.84 cubic centimeters
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
The radius of the cone is half of the diameter, so the radius is 2 cm / 2 = 1 cm.
Plugging the values into the formula, V = (1/3)π(1 cm)^2(6 cm) = (1/3)π(1 cm^2)(6 cm) = (1/3)(3.14)(1 cm^2)(6 cm) ≈ 6.28 cm^3.
Therefore, the volume of the chocolate cone is approximately 6.28 cubic centimeters.
The correct answer is A. 6.28 cubic centimeters.
The radius of the cone is half of the diameter, so the radius is 2 cm / 2 = 1 cm.
Plugging the values into the formula, V = (1/3)π(1 cm)^2(6 cm) = (1/3)π(1 cm^2)(6 cm) = (1/3)(3.14)(1 cm^2)(6 cm) ≈ 6.28 cm^3.
Therefore, the volume of the chocolate cone is approximately 6.28 cubic centimeters.
The correct answer is A. 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 .
A. 150.72 cubic meters
B. 100.48 cubic meters
C. 75.36 cubic meters
D. 25.12 cubic meters
A. 150.72 cubic meters
B. 100.48 cubic meters
C. 75.36 cubic meters
D. 25.12 cubic meters
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
The radius of the cone is half of the diameter, so the radius is 4 meters / 2 = 2 meters.
Plugging the values into the formula, V = (1/3)π(2 meters)^2(6 meters) = (1/3)π(4 meters^2)(6 meters) = (1/3)(3.14)(4 meters^2)(6 meters) ≈ 100.48 cubic meters.
Therefore, the volume of sand needed to fill the mold is approximately 100.48 cubic meters.
The correct answer is B. 100.48 cubic meters.
The radius of the cone is half of the diameter, so the radius is 4 meters / 2 = 2 meters.
Plugging the values into the formula, V = (1/3)π(2 meters)^2(6 meters) = (1/3)π(4 meters^2)(6 meters) = (1/3)(3.14)(4 meters^2)(6 meters) ≈ 100.48 cubic meters.
Therefore, the volume of sand needed to fill the mold is approximately 100.48 cubic meters.
The correct answer is B. 100.48 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 π .
A. 1,177.5 cubic inches
B. 78.5 cubic inches
C. 1,570 cubic inches
D. 392.5 cubic inches
A. 1,177.5 cubic inches
B. 78.5 cubic inches
C. 1,570 cubic inches
D. 392.5 cubic inches
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging the given values into the formula, V = (1/3)π(5 inches)^2(15 inches) = (1/3)π(25 inches^2)(15 inches) = (1/3)(3.14)(25 inches^2)(15 inches) ≈ 1,177.5 cubic inches.
Therefore, the flower vase can hold approximately 1,177.5 cubic inches of water.
The correct answer is A. 1,177.5 cubic inches.
Plugging the given values into the formula, V = (1/3)π(5 inches)^2(15 inches) = (1/3)π(25 inches^2)(15 inches) = (1/3)(3.14)(25 inches^2)(15 inches) ≈ 1,177.5 cubic inches.
Therefore, the flower vase can hold approximately 1,177.5 cubic inches of water.
The correct answer is A. 1,177.5 cubic inches.