What is the length of the radius of a sphere with a diameter of 12 cm?(1 point) cm
The radius of a sphere is equal to half of its diameter. Therefore, the radius of a sphere with a diameter of 12 cm is 6 cm.
The formula for the surface area of a sphere is given by:
Surface area = 4πr²
Given that the diameter is 40 inches, we can find the radius by dividing the diameter by 2:
Radius = 40 inches / 2 = 20 inches
Using this radius value, we can substitute it into the formula for surface area:
Surface area = 4π(20 inches)²
Surface area = 4π(400 square inches)
Surface area = 1600π square inches
Therefore, the surface area of the sphere is 1600π square inches.
To find the largest size sphere that can fit inside the cube, we need to determine the diameter of the sphere. Since the edges of the cube have the same length (20 cm), the diameter of the sphere should be equal to the length of one of the edges.
Therefore, the diameter of the sphere that can fit inside the cube would be 20 cm.
To find the surface area of the sphere, we use the formula:
Surface area = 4πr²
Given that the diameter is 20 cm, we can find the radius by dividing the diameter by 2:
Radius = 20 cm / 2 = 10 cm
Using this radius value, we can substitute it into the formula for surface area:
Surface area = 4π(10 cm)²
Surface area = 4π(100 cm²)
Surface area = 400π cm²
Therefore, the surface area of the largest size sphere that can fit inside the cube is 400π cm².
To determine the largest size sphere that can fit inside the rectangular box, we need to find the diameter of the sphere.
Let's assume the diameter of the sphere is equal to the shortest side length of the box. In this case, the diameter of the sphere would be 12 inches.
To find the surface area of the sphere, we use the formula:
Surface area = 4πr²
Given that the diameter is 12 inches, we can find the radius by dividing the diameter by 2:
Radius = 12 inches / 2 = 6 inches
Using this radius value, we can substitute it into the formula for surface area:
Surface area = 4π(6 inches)²
Surface area = 4π(36 square inches)
Surface area = 144π square inches
Therefore, the surface area of the largest size sphere that can fit inside the rectangular box is 144π square inches.
Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi.(1 point) The surface area is__in^2
Find the surface area of a sphere with a radius of 3.6 ft. Use 3.14 for pi. Round your answer to the nearest hundredth, if necessary.(1 point) The surface area is__ft^2
The formula for the surface area of a sphere is given by:
Surface area = 4πr²
Given that the radius is 3.6 ft, we can substitute this value into the formula for surface area:
Surface area = 4π(3.6 ft)²
Surface area = 4π(12.96 ft²)
Surface area = 51.84π ft²
Using the value of pi as 3.14, we can calculate the surface area:
Surface area ≈ 51.84 * 3.14 ft²
Surface area ≈ 162.7776 ft²
Rounded to the nearest hundredth, the surface area of the sphere is approximately 162.78 ft².
A cube box is 20 cm×20 cm× 20 cm . What is the surface area of the largest size sphere that can fit in this box? Leave your answer in terms of pi.(1 point) __cm^2
A rectangular box is 12 in. × 14 in. × 18 in. What is the surface area of the largest size sphere that could fit in this box? Leave your answer in terms of pi.(1 point) __in^2
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)
A.265.77 in.^2
B.84.64 in.^2
C.1,063.08 in.^2
D.66.44 in.^2