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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.4, Problem 38E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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An ice cream cone is filled with ice cream as shown. What is the volume of the ice cream? Use your calculator.

Chapter 9.4, Problem 38E, An ice cream cone is filled with ice cream as shown. What is the volume of the ice cream? Use your

To determine

To find:

The volume of the ice cream in a cone.

Explanation

Approach:

A sphere is a three dimensional solid figure, which is made up of all the points in space, which lie at a common distance, called the radius, from a fixed point called the center of the sphere. The surface area of a sphere S=4Ï€r2, where r is the radius of the sphere.

All solid bodies occupy space. The measure of occupied space is called the volume of the object. Volume of a sphere V=43Ï€r3.

Half of a sphere is called a hemisphere.

Volume of hemisphere V=23Ï€r3.

The surface area of a hemisphere S=2Ï€r2.

A cone is a three dimensional solid figure formed by joining all the points from its circular base to a fixed point lying in a plane different from its base. The fixed point is called the vertex of the cone. The line segment which joins the vertex to the center of its base is called the axis of the cone. A right circular cone is formed when the axis is perpendicular to the base. An oblique circular cone is formed when the axis is not perpendicular to the base. An altitude of a cone is the perpendicular line drawn from the vertex to the plane of the base. In a right circular cone the length of the axis and the length of the altitude are the same. For a right circular cone, any line that joins the vertex to a point on the circular base is called slant height.

For right circular cone of base radius (r), slant height (l) and altitude (h),

Total surface area of the cone =Ï€rl+r.

Curved or lateral surface area of the cone =Ï€rl.

Volume of the cone =13Ï€r2h.

Calculation:

Consider a cone with altitude (h)=3in

The altitude of cone with hemispherical cap (H)=4 in

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Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E
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