Cylinder: Volume = (av²)h T Cylinder Surface Area Formula: A = 2rh + 2nr² Assume a Spherical Elephant For a sphere with radius r, its volume is r' and its surface area is 4nr. 1. Let's model an elephant with a sphere that has a radius of 4.5 feet. a. What is the volume of the elephant? Share with Class b. What is the surface area of the elephant? 2. Let's model a snake with a cylinder of length 3 feet and diameter 0.2 feet. a. What is the volume of the snake? b. What is the surface area of the snake? SA 3. Compute the surface area to volume ratio, or , for each animal.
Cylinder: Volume = (av²)h T Cylinder Surface Area Formula: A = 2rh + 2nr² Assume a Spherical Elephant For a sphere with radius r, its volume is r' and its surface area is 4nr. 1. Let's model an elephant with a sphere that has a radius of 4.5 feet. a. What is the volume of the elephant? Share with Class b. What is the surface area of the elephant? 2. Let's model a snake with a cylinder of length 3 feet and diameter 0.2 feet. a. What is the volume of the snake? b. What is the surface area of the snake? SA 3. Compute the surface area to volume ratio, or , for each animal.
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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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 drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
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Transcribed Image Text:16.3 Assume a Spherical Elephant
Cylinder: Volume = (n²)h
Cylinder Surface Area Formula: A = 2rrh + 2rr²
T
Assume a Spherical Elephant
For a sphere with radius r, its volume is ar
and its surface
area is 4tr.
1. Let's model an elephant with a sphere that has a radius of
4.5 feet.
a. What is the volume of the elephant?
Share with Class
b. What is the surface area of the elephant?
2. Let's model a snake with a cylinder of length 3 feet and
diameter 0.2 feet.
a. What is the volume of the snake?
b. What is the surface area of the snake?
3. Compute the surface area to volume ratio, or , for each
animal.
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