Math Problem Statement

What is the volume of this right cone?

Responses

40π cm³

40 pi cm³

300π cm³

300 pi cm³

400π cm³

400 pi cm³

480π cm³

480 pi cm³

NOTE: Image is not drawn to scale.

Solution

To determine the volume of a right cone, use the formula:

V=13πr2hV = \frac{1}{3} \pi r^2 h

Where:

  • VV is the volume,
  • rr is the radius of the base,
  • hh is the height of the cone.

Steps to Solve:

  1. Identify the radius (rr) and the height (hh) from the problem statement or diagram.

    • Since no image was provided here, I would need the values for rr and hh to proceed.
  2. Substitute the values into the formula.

  3. Simplify to find the volume.

Can you provide the radius and height of the cone? Alternatively, upload an image or share the measurements. 😊


Related Questions:

  1. What happens to the volume if the radius doubles while keeping the height constant?
  2. How do you find the slant height of the cone if the radius and height are known?
  3. What is the surface area formula of a right cone?
  4. How does the cone's volume compare to the volume of a cylinder with the same base and height?
  5. How is the formula for the volume of a cone derived?

Tip:

Always ensure units match when substituting into volume formulas (e.g., cm for radius and height).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Conic Sections

Formulas

V = (1/3)πr²h

Theorems

Volume formula for a cone

Suitable Grade Level

Grades 8-10