Question

determine the volume and the surface area of the three - dimensional figure
use the π key on your calculator.
a) the volume is
(simplify your answer. type an integer or a decimal rounded to the nearest
hundredth as needed.)

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume \(V\) of a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 2\) cm and \(h=7\) cm. Substitute these values into the formula:

$$
LATEXBLOCK0
$$

Step3: Calculate the numerical value

Using the \(\pi\) key on the calculator, \(V=\frac{28\times3.141592654}{3}\approx29.32\) (rounded to the nearest hundredth)

Answer:

\(29.32\)