Question

1. how is the volume of a cone calculated?

a. volume = π×radius × height
b. volume = \\( \frac { 1 } { 3 } \times \pi \times r ^ { 2 } \times h \\)
c. volume = \\( \frac { 1 } { 4 } \times \text { base area } \times \text { height } \\)
d. volume = \\( \frac { 1 } { 2 } \times \text { base area } \times \text { height } \\)

Explanation:

The volume formula for a cone is \( V=\frac{1}{3}\pi r^{2}h\) (where \(r\) is the radius of the base and \(h\) is the height). Option a is incorrect as it lacks the \(\frac{1}{3}\) factor and correct power of radius. Option c has an incorrect \(\frac{1}{4}\) factor. Option d has an incorrect \(\frac{1}{2}\) factor.

Answer:

B. Volume \(=\frac{1}{3}\times\pi\times r^{2}\times h\)