Knowee
Questions
Features
Study Tools

The area of a circle of radius 14 units is equal to the surface area of a sphere of radius 7 units.A.TrueB.False

Question

The area of a circle of radius 14 units is equal to the surface area of a sphere of radius 7 units.A.TrueB.False

🧐 Not the exact question you are looking for?Go ask a question

Solution

B. False

Step 1: Calculate the area of a circle using the formula: Area = πr² For a circle with radius 14 units, the area would be: Area = π(14)² = 196π square units.

Step 2: Calculate the surface area of a sphere using the formula: Surface Area = 4πr² For a sphere with radius 7 units, the surface area would be: Surface Area = 4π(7)² = 196π square units.

Although the numerical values are the same, the units are different. The circle's area is in square units, while the sphere's surface area is also in square units. Therefore, the statement is false.

This problem has been solved

Similar Questions

The area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units.A.TrueB.False

What is the surface area of a sphere with a radius of 13 units?A.676 units2B.1014 units2C.845 units2D.507 units2

The diameter D of a sphere is 14.4cm. Calculate the sphere's surface area A.

What is the surface area of a sphere with a radius of 11 units?A.1331 units2B.363 units2C.726 units2D.484 units2SUBMITarrow_backPREVIOUS

The radius R of a sphere is 8.1cm. Calculate the sphere's surface area A.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.