The surface area of a sphere is the total area covered by its outer surface.
Sphere Surface Area Formula
The standard formula to calculate the surface area (A) of a sphere with radius (\(r\)) is given by:
\(A = 4\pi r^2\)
Comparing with Options
Let's compare this standard formula with the given options:
- Option 1: \(\left(\frac{4}{3}\right)\pi r^2\) (This is related to the volume formula, not surface area)
- Option 2: \(\left(\frac{4}{5}\right)\pi r^2\)
- Option 3: \(\left(\frac{3}{4}\right)\pi r^2\)
- Option 4: \(4\pi r^2\) (This matches the standard formula)
Conclusion
The correct formula for the surface area of a sphere is \(4\pi r^2\). Therefore, option 4 is the correct answer.
Important Questions from Solid Figures
A cone and a hemisphere have equal bases and volumes. What is the ratio of the height of the cone to the radius of the hemisphere?
If the surface area of a sphere is 64 π cm 2, then the volume of the sphere is:
Find the surface area of a sphere of diameter 21 cm. (Use π = \(\frac{{22}}{7}\) )
A cube is 7 cm of an edge and another cube is 14 cm on an edge. The ratios of their surface areas are
Using three distinct points which of the following shapes cannot be formed?
