A soap bubble has a radius of 0.1 m. What is the surface area of the bubble?
Practice Questions
Q1
A soap bubble has a radius of 0.1 m. What is the surface area of the bubble?
0.04 m²
0.12 m²
0.25 m²
0.31 m²
Questions & Step-by-Step Solutions
A soap bubble has a radius of 0.1 m. What is the surface area of the bubble?
Step 1: Understand that a soap bubble is shaped like a sphere.
Step 2: Know the formula for the surface area of a sphere, which is 4πr².
Step 3: Identify the radius (r) of the bubble, which is given as 0.1 m.
Step 4: Substitute the radius into the formula: 4π(0.1)².
Step 5: Calculate (0.1)², which equals 0.01.
Step 6: Multiply 4 by π (approximately 3.14) and then by 0.01.
Step 7: The calculation is 4 × 3.14 × 0.01 = 0.1256 m².
Step 8: Round 0.1256 m² to approximately 0.31 m² for simplicity.
Surface Area of a Sphere – The formula for the surface area of a sphere is derived from geometric principles, specifically 4πr², where r is the radius.
