Question

Cool Globes is a project designed to raise awareness of a global warming.

Artists decorate white globes to show ways to protect the environment.
Each globe has a diameter of 5 ft. What area needs to be decorated for
each sphere? (3 marks)

Answer 1

The surface area of each Cool Globes project globe, which has a diameter of 5 feet, is 25π square feet, approximately 78.54 square feet, and this is the area that needs to be decorated by the artists.

Step-by-step explanation:

Cool Globes is a public art exhibition with a goal to increase awareness of global warming and its solutions. Artists are tasked to decorate globes, with each globe having a diameter of 5 feet. To find the area that needs to be decorated, we need to calculate the surface area of a sphere.

The formula for the surface area of a sphere is 4πr2, where r is the radius of the sphere. Since the diameter is 5 feet, the radius (r) is half of that, which is 2.5 feet. Plugging this into the formula, we calculate:

Surface Area = 4π(2.5 feet)2
Surface Area = 4π(6.25 square feet)
Surface Area = 25π square feet

Therefore, each globe has a surface area of 25π square feet (approximately 78.54 square feet) that needs to be decorated by the artists.