Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is dr…

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Question

Chapter 10.8, Problem 24E

To determine

To find the volume of the cone.

Expert Solution & Answer

Answer to Problem 24E

The volume of cone is 300 m³.

Explanation of Solution

Given information: height of cone is 20m, Angle given is 15°.

Formula used:Volume of cone is,

v = πr2h3 .

tan θ = perpendicularbase

Calculation:

Substituting value of θ and base, Tan15°= perpendicular20

Cross multiplying the values,

perpendicular = 20 tan 15°

Hence, value of perpendicular is,

perpendicular = 17.11 m

Now radius (r)of the cone= perpendicular

Radius = 17.11 meter

Now, volume of cone is v = πr2h3

Substituting the values of r,h gives,

Volume = π×(17.11)2×203

Hence, volume of the spherical object is,

v=6128.27 m³

Chapter 10.8, Problem 23E

Chapter 10.8, Problem 25E

Chapter 10 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

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