Please answer this. Find the volume of the cone.26.5 yd9.6 yd1.

Answered: Find the volume of the cone. 26.5 yd…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Please answer this.

Find the volume of the cone.
26.5 yd
9.6 yd
1.

Expert Solution

Step 1

Given Data:

The slant height of the cone is: s=26.5 yd

The radius of the circular base is: r=9.6 yd

The height of the cone is,

$h = \sqrt{s^{2} - r^{2}}$

Substitute the values in the above equation.

$\begin{array}{rcl} h & = & \sqrt{{(26.5)}^{2} - {(9.6)}^{2}} \\ = & \sqrt{702.3 - 92.2} \\ = & \sqrt{610.1} \\ = & 24.7 yd \end{array}$

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Find the volume of the cone. 26.5 yd 9.6 yd