The diameter D of a sphere is 16.4mm. Calculate the sphere's surface area A.Use the value 3.14 for π, and round your answer to the nearest tenth.
Question
The diameter D of a sphere is 16.4mm. Calculate the sphere's surface area A.Use the value 3.14 for π, and round your answer to the nearest tenth.
Solution
To calculate the surface area of a sphere, we use the formula A = 4πr², where r is the radius of the sphere.
Step 1: Find the radius. The radius is half of the diameter, so r = D/2 = 16.4mm/2 = 8.2mm.
Step 2: Substitute the radius into the formula. A = 4π(8.2mm)².
Step 3: Calculate the area. A = 4 * 3.14 * (8.2mm)² = 4 * 3.14 * 67.24mm² = 843.3mm².
So, the surface area of the sphere is approximately 843.3mm², rounded to the nearest tenth.
Similar Questions
The diameter, D, of a sphere is 9.6mm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Diameter of the sphere is measured as 20.0 ± 0.1 mm. The surface area of the sphere is [take π = 3]
The diameter D of a sphere is 14.4cm. Calculate the sphere's surface area A.
The radius, , of a sphere is 8.9 Calculate the sphere's volume, . Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
The radius, R, of a sphere is 9.4mm. Calculate the sphere's volume, V.Use the value 3.14 for π,
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.