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the radius of the base of a cone is represented by the symbol: a. ( h )…

Question

the radius of the base of a cone is represented by the symbol:
a. ( h )
b. ( v )
c. ( pi )
d. ( r )
to find the volume of a cone, you need to know:
a. the radius of the base and the height
b. the circumference and the height
c. the slant height and the radius
d. the diameter and the height

Explanation:

Brief Explanations
  • In the formula for the volume of a cone \( V=\frac{1}{3}\pi r^{2}h \), \( r \) is the standard symbol for the radius of the base of the cone. \( h \) represents height, \( V \) represents volume, and \( \pi \) is a mathematical constant.
  • The volume formula \( V = \frac{1}{3}\pi r^{2}h \) clearly shows that to calculate the volume of a cone, the radius of the base (\( r \)) and the height (\( h \)) are required. While other options might relate to cone - related properties, they are not directly used in the standard volume formula in the way presented.

Answer:

  1. D. \( r \)
  2. A. the radius of the base and the height