Question

The surface area of a sphere can be approximated as follows: Surface area 4πr² where r is the radius of the sphere . π is a constant that is roughly equal to 3. Using the simple approximation above, calculate the surface area if a sphere with a radius of 2 meters.

A.) 24 meters squared
B.) 9 meters squared
C.) 16 meters squared
D.) 48 meters squared

Answer 1

Using the approximation π ≈ 3 and the provided formula for the surface area of a sphere, which is 4πr² with a radius of 2 meters, the surface area is calculated to be 48 square meters (D).

Step-by-step explanation:

To calculate the surface area of a sphere using the approximated formula provided, which is Surface area = 4πr² where π (pi) is roughly equal to 3, and r is the radius of the sphere. Given the radius as 2 meters, we substitute the value into the formula:

Surface area = 4 × π × (2 m)² = 4 × 3 × (4 m²) = 48 m²

Therefore, the surface area of the sphere is 48 meters squared (D).