Which of the following correctly describes a sphere? (1 point)
• A sphere has a face.
• A sphere has a center.
• A sphere has an edge.
• A sphere has a vertex.
8 answers
A sphere has a center.
Which of the following is true about the diameter of a sphere? (1 point)
• The diameter of a sphere passes through the center of the circle.
• The diameter is not a chord.
• The diameter is 2.5 times the length of the radius.
• The diameter is the shortest length on a sphere.
• The diameter of a sphere passes through the center of the circle.
• The diameter is not a chord.
• The diameter is 2.5 times the length of the radius.
• The diameter is the shortest length on a sphere.
The diameter of a sphere passes through the center of the circle.
Use the formula for the 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 your answer to the nearest hundredth, if necessary. (1 point)
• 66.44 in.?
• 265.77 in.
• 84.64 in.?
• 1, 063.08 in."
• 66.44 in.?
• 265.77 in.
• 84.64 in.?
• 1, 063.08 in."
To find the surface area of a sphere, we use the formula: SA = 4πr^2, where r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 9.2 / 2 = 4.6 inches
Now, we can substitute the radius into the formula and calculate the surface area:
SA = 4π(4.6)^2 = 4π(21.16) ≈ 265.77 in.
Therefore, the surface area of the basketball is approximately 265.77 square inches.
Given that the diameter of the basketball is 9.2 inches, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 9.2 / 2 = 4.6 inches
Now, we can substitute the radius into the formula and calculate the surface area:
SA = 4π(4.6)^2 = 4π(21.16) ≈ 265.77 in.
Therefore, the surface area of the basketball is approximately 265.77 square inches.
Find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi. (1 point)
• 3, 600т in.?
• 2,8267 in.?
• 225л in.
2
O 900т in.?
• 3, 600т in.?
• 2,8267 in.?
• 225л in.
2
O 900т in.?
To find the surface area of a sphere, we use the formula: SA = 4πr^2, where r is the radius of the sphere.
Given that the diameter of the sphere is 30 inches, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 30 / 2 = 15 inches
Now, we can substitute the radius into the formula and calculate the surface area:
SA = 4π(15)^2 = 4π(225) = 900π
Therefore, the surface area of the sphere is 900π square inches.
Given that the diameter of the sphere is 30 inches, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 30 / 2 = 15 inches
Now, we can substitute the radius into the formula and calculate the surface area:
SA = 4π(15)^2 = 4π(225) = 900π
Therefore, the surface area of the sphere is 900π square inches.
Marcus is making spherical soaps to sell in his online store. The surface area of a soap is 63.585 in." 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 box? (1 point)
• 4 in. x 4 in. x 4 in.
• 4.5 in. × 4.5 in. × 4.5 in.
• 1.2 in. × 1.2 in. x 1.2 in.
• 2.25 in. x 2.25 in. × 2.25 in.
• 4 in. x 4 in. x 4 in.
• 4.5 in. × 4.5 in. × 4.5 in.
• 1.2 in. × 1.2 in. x 1.2 in.
• 2.25 in. x 2.25 in. × 2.25 in.