Question

read the sentences below, filling in the blanks with items from this list. each item will be used once. cone 3.14 area h one - third volume r the formula to calculate the volume of a ____ is $v = \frac{1}{3}\pi r^2 h$. the radius of the base of a cone is denoted by __. the height of the cone, measured from the base to the tip, is denoted by __. in the volume formula for a cone, the symbol $\pi$ approximately equals __ when rounded to 2 decimal points. the __ of the base of a cone is calculated using the formula $\pi r^2$. the expression $\frac{1}{3}\pi r^2 h$ is used to find the __ of a cone. if we are given a cone and a cylinder with identical heights and radii, the cones volume is ____ of the volume of the cylinder.

Explanation:

Each blank is filled by matching the term to the context of cone properties and formulas, using each list item exactly once.

1. The formula $V=\frac{1}{3}\pi r^2h$ is for a cone's volume.
2. Radius of a cone's base is denoted by $r$.
3. Cone height from base to tip is denoted by $h$.
4. $\pi$ rounded to 2 decimals is 3.14.
5. $\pi r^2$ calculates the base area of a cone.
6. $\frac{1}{3}\pi r^2h$ finds a cone's volume.
7. A cone with same radius/height as a cylinder has one-third the cylinder's volume.

Answer:

1. cone
2. $r$
3. $h$
4. 3.14
5. area
6. volume
7. one-third