Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in. (1 point)
• (2.5) (9) in.3
0 T (2.5) (9) in. 3
0 7(9)? (2.5) in. 3
0 (2.5)? (9) in.3
The volume of the cylinder is (2.5) (9) in.3
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 7. (1 point)
• 12.56 cubic centimeters
• 6.28 cubic centimeters
O 18.84 cubic centimeters
• 37.68 cubic centimeters
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter of the cone is 2 cm, we can find the radius by dividing the diameter by 2. So the radius (r) is 2 cm / 2 = 1 cm.
Using the given height of 6 cm, we can now calculate the volume:
V = (1/3)π(1^2)(6)
= (1/3)π(1)(6)
= (1/3)π(6)
= (1/3)(3.14)(6)
= 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make the solid chocolate cone 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 m. (1 point)
• 100.48 cubic meters
O 75.36 cubic meters
• 150.72 cubic meters
• 25.12 cubic meters
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter of the cone is 4 meters, we can find the radius by dividing the diameter by 2. So the radius (r) is 4 meters / 2 = 2 meters.
Using the given height of 6 meters, we can now calculate the volume:
V = (1/3)π(2^2)(6)
= (1/3)π(4)(6)
= (1/3)π(24)
= (1/3)(3.14)(24)
= 25.12 cubic meters
Therefore, the volume of sand needed to fill the sandcastle mold 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 n. (1 point)
O 1,570 cubic inches
• 1,177.5 cubic inches
• 392.5 cubic inches
• 78.5 cubic inches
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the radius of the cone is 5 inches and the height is 15 inches, we can calculate the volume:
V = (1/3)π(5^2)(15)
= (1/3)π(25)(15)
= (1/3)π(375)
= (1/3)(3.14)(375)
= 392.5 cubic inches
Therefore, the hanging flower vase can hold 392.5 cubic inches of water.