Determine the volume and the surface area of the three-dimensional figure. Use the z key on your calculator. 6 cm a) The volume is 377.14 cm?. (Simplify your answer. Type an integer or a decimal rounded to the nearest hundredth as needed.) 10 cm

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3** i have been given the wrong answer twice. 

**Determine the Volume and Surface Area of the Three-Dimensional Figure**

Use the π key on your calculator.

---

a) The volume is \( 377.14 \, \text{cm}^3 \).

(Simplify your answer. Type an integer or a decimal rounded to the nearest hundredth as needed.)

**Diagram Explanation:**

The diagram on the right illustrates a cone. Key dimensions include:
- A radius of 6 cm.
- A height of 10 cm.

This geometric figure is a right circular cone, and the task requires calculating its volume and potentially its surface area. The formula for the volume of a cone is:

\[ V = \frac{1}{3} \pi r^2 h \]

where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height.
Transcribed Image Text:**Determine the Volume and Surface Area of the Three-Dimensional Figure** Use the π key on your calculator. --- a) The volume is \( 377.14 \, \text{cm}^3 \). (Simplify your answer. Type an integer or a decimal rounded to the nearest hundredth as needed.) **Diagram Explanation:** The diagram on the right illustrates a cone. Key dimensions include: - A radius of 6 cm. - A height of 10 cm. This geometric figure is a right circular cone, and the task requires calculating its volume and potentially its surface area. The formula for the volume of a cone is: \[ V = \frac{1}{3} \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height.
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Solution- Given that radius r=6 cm

and height h=10 cm , find volume of cone V=?

 

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