Question

what is the volume of a sphere formula?
a. volume = \\( \pi \times r ^ { 2 } \times h \\)
b. volume = \\( \frac { 4 } { 3 } \times \pi \times r ^ { 3 } \\)
c. volume = \\( \frac { 2 } { 3 } \times \pi \times r ^ { 3 } \\)
d. volume = \\( \frac { 1 } { 3 } \times \pi \times r ^ { 2 } \times h \\)

Explanation:

• Option a: The formula \(Volume=\pi\times r^{2}\times h\) is for the volume of a cylinder.
• Option b: The formula \(Volume = \frac{4}{3}\times\pi\times r^{3}\) is the standard formula for the volume of a sphere.
• Option c: The formula \(Volume=\frac{2}{3}\times\pi\times r^{3}\) is not a standard volume formula for common 3 - D shapes.
• Option d: The formula \(Volume=\frac{1}{3}\times\pi\times r^{2}\times h\) is for the volume of a cone.

Answer:

B. Volume = \(\frac{4}{3}\times\pi\times r^{3}\)