Asked by Asma Amer
Find the surface area of a sphere that has a diameter of 32 inches. Use 3.14 for π.
Answers
Answered by
Asma Amer
How much larger (volume) is one large ball that has a radius if 21 inches than the total volume of 3 balls that each have a radius of 6 inches? Use 3.14 for π.
Answered by
Asma Amer
Find the volume of a sphere that has a radius of 15 inches. Use 3.14 for π.
Answered by
Asma Amer
Find the volume of a sphere that has a diameter of 100 inches. Use 3.14 for
.
The sphere’s volume is cubic inches.
.
The sphere’s volume is cubic inches.
Answered by
Asma Amer
How much larger is the calculation of the volume of a sphere’s whose radius is 45 inches if
is used instead of 3.14 ?
Round your answer to the nearest tenth.
The difference of using
rather than 3.14 is about cubic inches.
is used instead of 3.14 ?
Round your answer to the nearest tenth.
The difference of using
rather than 3.14 is about cubic inches.
Answered by
GPT 3.5
First, we need to find the radius of the sphere. The radius is half of the diameter, so the radius is 32/2 = 16 inches.
The surface area of a sphere is given by the formula:
Surface Area = 4πr^2
Substitute the radius into the formula:
Surface Area = 4 * 3.14 * 16^2
Surface Area = 4 * 3.14 * 256
Surface Area = 3.14 * 1024
Surface Area ≈ 3218.56 square inches
Therefore, the surface area of the sphere with a diameter of 32 inches is approximately 3218.56 square inches.
The surface area of a sphere is given by the formula:
Surface Area = 4πr^2
Substitute the radius into the formula:
Surface Area = 4 * 3.14 * 16^2
Surface Area = 4 * 3.14 * 256
Surface Area = 3.14 * 1024
Surface Area ≈ 3218.56 square inches
Therefore, the surface area of the sphere with a diameter of 32 inches is approximately 3218.56 square inches.
Answered by
GPT 3.5
First, we need to calculate the volume of the larger ball with a radius of 21 inches.
The volume of a sphere is given by the formula:
Volume = (4/3) * π * r^3
For the larger ball:
Volume_large = (4/3) * 3.14 * 21^3
Volume_large = (4/3) * 3.14 * 9261
Volume_large = (4/3) * 3.14 * 9261
Volume_large = 4.19 * 9261
Volume_large ≈ 38817.59 cubic inches
Now, we need to calculate the total volume of three balls with a radius of 6 inches.
For each small ball:
Volume_small = (4/3) * 3.14 * 6^3
Volume_small = (4/3) * 3.14 * 216
Volume_small = 4.19 * 216
Volume_small ≈ 905.04 cubic inches
Total volume of the three small balls:
Total_volume_small = 3 * Volume_small
Total_volume_small = 3 * 905.04
Total_volume_small ≈ 2715.12 cubic inches
Now, we can compare the volume of the large ball to the total volume of the three small balls:
Difference = Volume_large - Total_volume_small
Difference = 38817.59 - 2715.12
Difference ≈ 36102.47 cubic inches
Therefore, the larger ball with a radius of 21 inches is approximately 36102.47 cubic inches larger in volume than the total volume of three balls, each with a radius of 6 inches.
The volume of a sphere is given by the formula:
Volume = (4/3) * π * r^3
For the larger ball:
Volume_large = (4/3) * 3.14 * 21^3
Volume_large = (4/3) * 3.14 * 9261
Volume_large = (4/3) * 3.14 * 9261
Volume_large = 4.19 * 9261
Volume_large ≈ 38817.59 cubic inches
Now, we need to calculate the total volume of three balls with a radius of 6 inches.
For each small ball:
Volume_small = (4/3) * 3.14 * 6^3
Volume_small = (4/3) * 3.14 * 216
Volume_small = 4.19 * 216
Volume_small ≈ 905.04 cubic inches
Total volume of the three small balls:
Total_volume_small = 3 * Volume_small
Total_volume_small = 3 * 905.04
Total_volume_small ≈ 2715.12 cubic inches
Now, we can compare the volume of the large ball to the total volume of the three small balls:
Difference = Volume_large - Total_volume_small
Difference = 38817.59 - 2715.12
Difference ≈ 36102.47 cubic inches
Therefore, the larger ball with a radius of 21 inches is approximately 36102.47 cubic inches larger in volume than the total volume of three balls, each with a radius of 6 inches.
Answered by
GPT 3.5
To find the volume of a sphere with a radius of 15 inches, we will use the formula for the volume of a sphere:
Volume = (4/3) * π * r^3
Given that the radius (r) is 15 inches and π is 3.14, we can calculate the volume:
Volume = (4/3) * 3.14 * 15^3
Volume = (4/3) * 3.14 * 3375
Volume = (4/3) * 3.14 * 3375
Volume = 4.19 * 3375
Volume ≈ 14137.5 cubic inches
Therefore, the volume of a sphere with a radius of 15 inches is approximately 14137.5 cubic inches.
Volume = (4/3) * π * r^3
Given that the radius (r) is 15 inches and π is 3.14, we can calculate the volume:
Volume = (4/3) * 3.14 * 15^3
Volume = (4/3) * 3.14 * 3375
Volume = (4/3) * 3.14 * 3375
Volume = 4.19 * 3375
Volume ≈ 14137.5 cubic inches
Therefore, the volume of a sphere with a radius of 15 inches is approximately 14137.5 cubic inches.
Answered by
GPT 3.5
To find the volume of a sphere with a diameter of 100 inches, we first need to find the radius. The radius is half of the diameter, so the radius is 100/2 = 50 inches.
Now, we can use the formula for the volume of a sphere:
Volume = (4/3) * π * r^3
Given that the radius (r) is 50 inches and π is 3.14, we can calculate the volume:
Volume = (4/3) * 3.14 * 50^3
Volume = (4/3) * 3.14 * 125000
Volume = (4/3) * 3.14 * 125000
Volume = 4.19 * 125000
Volume ≈ 523750 cubic inches
Therefore, the volume of a sphere with a diameter of 100 inches is approximately 523750 cubic inches.
Now, we can use the formula for the volume of a sphere:
Volume = (4/3) * π * r^3
Given that the radius (r) is 50 inches and π is 3.14, we can calculate the volume:
Volume = (4/3) * 3.14 * 50^3
Volume = (4/3) * 3.14 * 125000
Volume = (4/3) * 3.14 * 125000
Volume = 4.19 * 125000
Volume ≈ 523750 cubic inches
Therefore, the volume of a sphere with a diameter of 100 inches is approximately 523750 cubic inches.
Answered by
GPT 3.5
To calculate the volume of a sphere with a radius of 45 inches using π = 3.14159:
Volume = (4/3) * π * r^3
Volume = (4/3) * 3.14159 * 45^3
Volume = (4/3) * 3.14159 * 91125
Volume ≈ (4/3) * 3.14159 * 91125
Volume ≈ 4.18879 * 91125
Volume ≈ 381386.13 cubic inches
Now, let's calculate the volume of the same sphere with radius 45 inches using π = 3.14:
Volume = (4/3) * π * r^3
Volume = (4/3) * 3.14 * 45^3
Volume = (4/3) * 3.14 * 91125
Volume ≈ (4/3) * 3.14 * 91125
Volume ≈ 4.18667 * 91125
Volume ≈ 381172.60 cubic inches
The difference between the two calculations is approximately:
381386.13 - 381172.60 ≈ 213.53 cubic inches
Therefore, the difference of using π = 3.14159 rather than 3.14 is about 213.5 cubic inches.
Volume = (4/3) * π * r^3
Volume = (4/3) * 3.14159 * 45^3
Volume = (4/3) * 3.14159 * 91125
Volume ≈ (4/3) * 3.14159 * 91125
Volume ≈ 4.18879 * 91125
Volume ≈ 381386.13 cubic inches
Now, let's calculate the volume of the same sphere with radius 45 inches using π = 3.14:
Volume = (4/3) * π * r^3
Volume = (4/3) * 3.14 * 45^3
Volume = (4/3) * 3.14 * 91125
Volume ≈ (4/3) * 3.14 * 91125
Volume ≈ 4.18667 * 91125
Volume ≈ 381172.60 cubic inches
The difference between the two calculations is approximately:
381386.13 - 381172.60 ≈ 213.53 cubic inches
Therefore, the difference of using π = 3.14159 rather than 3.14 is about 213.5 cubic inches.