What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? use 3.14 for pi
A. 2,355 cubic centimeters
B. 314 cubic centimeters
C. 1,570
D. 6,280
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
First, we need to find the radius of the cone. The diameter is given as 20 cm, so the radius is half of that, which is 10 cm.
Plugging in the values into the formula, V = (1/3)π(10 cm)^2(15 cm)
V = (1/3)π(100 cm^2)(15 cm)
V = (1/3)π(1500 cm^3)
V = (1/3)(3.14)(1500 cm^3)
V ≈ 1,570 cm^3
Therefore, the volume of the cone is approximately 1,570 cubic centimeters. The answer is C.
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
A 6.28
B 18.84
C37.68
D 12.56
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
First, we need to find the radius of the cone. The diameter is given as 2 cm, so the radius is half of that, which is 1 cm.
Plugging in the values into the formula, V = (1/3)π(1 cm)^2(6 cm)
V = (1/3)π(1 cm)^2(6 cm)
V = (1/3)π(1 cm^2)(6 cm)
V = (1/3)(3.14)(1 cm^2)(6 cm)
V ≈ 6.28 cm^3
Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 6.28 cubic centimeters. The answer is A.
A sandcastle mold is in the hspae 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
100.48
150.72
75.36.
25.12
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
First, we need to find the radius of the cone. The diameter is given as 4 meters, so the radius is half of that, which is 2 meters.
Plugging in the values into the formula, V = (1/3)π(2 meters)^2(6 meters)
V = (1/3)π(4 meters^2)(6 meters)
V = (1/3)(3.14)(16 meters^2)(6 meters)
V ≈ 100.48 meters^3
Therefore, the volume of sand needed to fill the mold is approximately 100.48 cubic meters. The answer is 100.48.
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
1,570 cubic inches
392.5 cubic inches
78.5 cubic inches
1,177.5 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 in the given values, V = (1/3)π(5 inches)^2(15 inches)
V = (1/3)π(25 inches^2)(15 inches)
V = (1/3)(3.14)(625 inches^2)(15 inches)
V = (3.14)(625 inches^2)(5 inches)
V ≈ 392.5 cubic inches
Therefore, the volume of water the flower vase can hold is approximately 392.5 cubic inches. The answer is B.
Question one: which of the following correctly describes a sphere
A sphere has a vertex
A sphere has an edge
A sphere has a face
A sphere has a center
Question two: which of the following is true about the diameter of a sphere
The diameter is the shortest length on the sphere
the diameter is not a chord
the diameter of a sphere passes through the center of the circle
the diameter is 2/5 times the length of the radius
Question 3: use the formula for a surface area of a sphere to find the surface area of a basketball that has a diameter of 9.2 inches. use 3.14 pi and round you're answer to the nearest hundredth, if necessary.
265.77 in^2
66.44 in^2
1,063.08 in^2
84.64 in^2
Question four: find the surface area of a sphere with a diameter of 30 inches. leave your answer in terms of pi
900pi in^2
225pi in^2
3, 600pi in^2
2,826pi in^2
Question 5: Marcus is making spherical soaps to sell in his online store. the surface area of a soap is 63.585 in^2 and he wants to package them into a cube box so that it fits snugly. using 3.14 as the value of pi. what should be the dimensions of the cube?
4 in x 4 in x 4 in
2.25 in x 2.25 in x 2.25 in
1.2 in x 1.2 in x 1.2 in
4.5 in x 4.5 in x 4.5 in
Question 1: A sphere has a center.
Question 2: The diameter of a sphere passes through the center of the circle.
Question 3: The surface area of a sphere can be calculated using the formula A = 4πr^2, where r is the radius. Since the diameter is given as 9.2 inches, the radius is half of that, which is 4.6 inches. Plugging in the values, A = 4(3.14)(4.6 inches)^2 ≈ 265.77 in^2. Therefore, the surface area of the basketball is approximately 265.77 in^2. The answer is 265.77 in^2.
Question 4: The surface area of a sphere can be calculated using the formula A = 4πr^2, where r is the radius. Since the diameter is 30 inches, the radius is half of that, which is 15 inches. Plugging in the values, A = 4(3.14)(15 inches)^2 = 4(3.14)(225 inches^2) = 2,826π in^2. Therefore, the surface area of the sphere is 2,826π in^2.
Question 5: The surface area of a cube is given by the formula A = 6s^2, where s is the length of a side. Since the surface area of the soap is given as 63.585 in^2, we can set up the equation 6s^2 = 63.585. Solving for s, we get s = √(63.585/6) ≈ 2.25 inches. Therefore, the dimensions of the cube should be 2.25 in x 2.25 in x 2.25 in. The answer is 2.25 in x 2.25 in x 2.25 in.