Math Problem Statement

The volume of this cone is 1,610.82 cubic centimeters. What is the radius of this cone?

Use β€‹πœ‹ β‰ˆ 3.14 and round your answer to the nearest hundredth.

Solution

To find the radius of the cone, we will use the formula for the volume of a cone:

V=13Ο€r2hV = \frac{1}{3} \pi r^2 h

Where:

  • VV is the volume of the cone (1,610.82 cubic centimeters),
  • rr is the radius of the base,
  • hh is the height of the cone,
  • Ο€β‰ˆ3.14\pi \approx 3.14.

However, we need the height (hh) of the cone in order to solve for the radius (rr). Could you please provide the height of the cone?

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Cone
Algebra

Formulas

V = (1/3) * Ο€ * r^2 * h

Theorems

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Suitable Grade Level

Grades 7-9