Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Concept explainers

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 13E

To determine

To calculate the volume of the solid

Expert Solution & Answer

Answer to Problem 13E

The volume of the solid is 283 cm³.

Explanation of Solution

Given information: A shape consists of cylinder and cone. Height of cylinder is 8 cm (h1) and radius of cylinder is 3 cm(r1). The height of cone is 3 cm(h2) and radius of cone is 3 cm(r2)

Formula used: Volume of cone is,

v=(πr2h)3

Volume of cylinder is,

v=πr2h

Calculation:

Substituting the values of radius & height

v = 3.14×32×63v=168.563

Hence, volume of cone is,

56.55 cm³^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_(1)

Substituting the values of radius & height

v = 3.14×32×93v=254.343

Hence, volume of cone is,

84.78 cm³^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_^_(2)

Adding (1) and (2), to get the volume of the solid

v = 55.55 + 84.78

= 140.33 cm³

Hence, volume of solid is

˜140cm³

Chapter 10.8, Problem 12E

Chapter 10.8, Problem 14E

Chapter 10 Solutions

Pre-Algebra

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