A sphere has a radius of 7 cm. What is the surface area of the sphere?

Practice Questions

Q1
A sphere has a radius of 7 cm. What is the surface area of the sphere?
  1. 154 cm²
  2. 308 cm²
  3. 616 cm²
  4. 44 cm²

Questions & Step-by-Step Solutions

A sphere has a radius of 7 cm. What is the surface area of the sphere?
  • Step 1: Identify the formula for the surface area of a sphere, which is Surface Area = 4πr².
  • Step 2: Substitute the radius (r) into the formula. Here, the radius is 7 cm.
  • Step 3: Calculate r² (7²). This means 7 multiplied by 7, which equals 49.
  • Step 4: Multiply 49 by 4. This gives you 196.
  • Step 5: Now, multiply 196 by π (approximately 3.14). This means 196 * 3.14.
  • Step 6: Calculate 196 * 3.14, which equals approximately 615.44.
  • Step 7: Write the final answer. The surface area of the sphere is 615.44 cm².
  • Surface Area of a Sphere – The formula for the surface area of a sphere is derived from geometric principles and is given by 4πr², where r is the radius.
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