Calculate the surface area of a sphere with a radius of 6 cm.

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Question: Calculate the surface area of a sphere with a radius of 6 cm.

Options:

Correct Answer: 452.39 cm²

Solution:

Surface Area = 4πr² = 4π(6)² = 144π ≈ 452.39 cm².

Calculate the surface area of a sphere with a radius of 6 cm.

Calculate the surface area of a sphere with a radius of 6 cm.

Step 1: Identify the formula for the surface area of a sphere, which is Surface Area = 4πr².
Step 2: Find the radius of the sphere, which is given as 6 cm.
Step 3: Substitute the radius into the formula: Surface Area = 4π(6)².
Step 4: Calculate (6)², which is 36.
Step 5: Multiply 36 by 4, which gives you 144.
Step 6: Now, include π in the calculation: Surface Area = 144π.
Step 7: To find an approximate value, multiply 144 by the approximate value of π (3.14): 144 × 3.14 ≈ 452.39.
Step 8: Therefore, the surface area of the sphere is approximately 452.39 cm².

Surface Area of a Sphere – The formula for calculating the surface area of a sphere is 4πr², where r is the radius.