Question
Find the surface area and volume of a sphere that has a diameter of
64
64 inches. Use 3.14 for π.
64
64 inches. Use 3.14 for π.
Answers
GPT 3.5
To find the surface area and volume of a sphere, we can use the following formulas:
Surface Area of a Sphere:
SA = 4πr^2
Volume of a Sphere:
V = (4/3)πr^3
Given that the diameter of the sphere is 64 inches, the radius (r) is half of the diameter:
r = 64 / 2 = 32 inches
Now, we can calculate the surface area and volume of the sphere using the values of radius and π:
Surface Area:
SA = 4 * 3.14 * (32)^2
SA = 4 * 3.14 * 1024
SA ≈ 12867.52 square inches
Volume:
V = (4/3) * 3.14 * (32)^3
V = (4/3) * 3.14 * 32768
V ≈ 137493.33 cubic inches
Therefore, the surface area of the sphere is approximately 12867.52 square inches and the volume of the sphere is approximately 137493.33 cubic inches.
Surface Area of a Sphere:
SA = 4πr^2
Volume of a Sphere:
V = (4/3)πr^3
Given that the diameter of the sphere is 64 inches, the radius (r) is half of the diameter:
r = 64 / 2 = 32 inches
Now, we can calculate the surface area and volume of the sphere using the values of radius and π:
Surface Area:
SA = 4 * 3.14 * (32)^2
SA = 4 * 3.14 * 1024
SA ≈ 12867.52 square inches
Volume:
V = (4/3) * 3.14 * (32)^3
V = (4/3) * 3.14 * 32768
V ≈ 137493.33 cubic inches
Therefore, the surface area of the sphere is approximately 12867.52 square inches and the volume of the sphere is approximately 137493.33 cubic inches.