Math Problem Statement
Work out the surface area of the sphere with a diameter of 14 cm. If your answer is a decimal, give it to 1 d.p.
Solution
To find the surface area of the sphere, we will use the formula:
where is the radius of the sphere.
Given that the diameter of the sphere is 14 cm, we can find the radius by dividing the diameter by 2:
Now, substituting cm into the formula:
Using :
Rounding to 1 decimal place, the surface area is approximately:
Would you like more details or have any questions?
Related Questions:
- How would the surface area change if the diameter was doubled?
- What is the volume of the same sphere?
- How is the surface area formula for a sphere derived?
- What would be the surface area if the radius was given as 10 cm?
- How do the formulas for surface area differ for other shapes like cylinders or cones?
Tip: When working with spheres, remember that the diameter is twice the radius, so always divide by two to find the radius if only the diameter is given.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Spheres
Surface Area
Formulas
Surface Area of a Sphere = 4πr^2
Theorems
Surface Area Theorem for a Sphere
Suitable Grade Level
Grades 7-9