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In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth.

A circular mosaic has radius 3 meters. Find the

  1. circumference
  2. area of the mosaic

  1. 18.84 m
  2. 28.26 sq. m

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A circular fountain has radius 8 feet. Find the

  • circumference
  • area of the fountain

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Find the diameter of a circle with circumference 150.72 inches.

48 in.

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Find the radius of a circle with circumference 345.4 centimeters

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Find the Area of Irregular Figures

In the following exercises, find the area of each shaded region.

Solve Geometry Applications: Volume and Surface Area

Find Volume and Surface Area of Rectangular Solids

In the following exercises, find the

  1. volume
  2. surface area of the rectangular solid

a rectangular solid with length 14 centimeters, width 4.5 centimeters, and height 10 centimeters

  1. 630 cu. cm
  2. 496 sq. cm

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a cube with sides that are 3 feet long

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a cube of tofu with sides 2.5 inches

  1. 15.625 cu. in.
  2. 37.5 sq. in.

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a rectangular carton with length 32 inches, width 18 inches, and height 10 inches

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Find Volume and Surface Area of Spheres

In the following exercises, find the

  1. volume
  2. surface area of the sphere.

a sphere with radius 4 yards

  • 267.95 cu. yd.
  • 200.96 sq. yd.

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a sphere with radius 12 meters

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a baseball with radius 1.45 inches

  1. 12.76 cu. in.
  2. 26.41 sq. in.

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a soccer ball with radius 22 centimeters

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Find Volume and Surface Area of Cylinders

In the following exercises, find the

  1. volume
  2. surface area of the cylinder

a cylinder with radius 2 yards and height 6 yards

  1. 75.36 cu. yd.
  2. 100.48 sq. yd.

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a cylinder with diameter 18 inches and height 40 inches

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a juice can with diameter 8 centimeters and height 15 centimeters

  1. 753.6 cu. cm
  2. 477.28 sq. cm

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a cylindrical pylon with diameter 0.8 feet and height 2.5 feet

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Find Volume of Cones

In the following exercises, find the volume of the cone.

a cone with height 5 meters and radius 1 meter

5.233 cu. m

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a cone with height 24 feet and radius 8 feet

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a cone-shaped water cup with diameter 2.6 inches and height 2.6 inches

4.599 cu. in.

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a cone-shaped pile of gravel with diameter 6 yards and height 5 yards

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Solve a Formula for a Specific Variable

Use the Distance, Rate, and Time Formula

In the following exercises, solve using the formula for distance, rate, and time.

A plane flew 4 hours at 380 miles per hour. What distance was covered?

1520 miles

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Gus rode his bike for 1 1 2 hours at 8 miles per hour. How far did he ride?

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Jack is driving from Bangor to Portland at a rate of 68 miles per hour. The distance is 107 miles. To the nearest tenth of an hour, how long will the trip take?

1.6 hours

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Jasmine took the bus from Pittsburgh to Philadelphia. The distance is 305 miles and the trip took 5 hours. What was the speed of the bus?

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Solve a Formula for a Specific Variable

In the following exercises, use the formula d = r t .

Solve for t :

  1. when d = 403 and r = 65
  2. in general
  1. t = 6.2
  2. t = d r
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Solve for r :

  1. when d = 750 and t = 15
  2. in general
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In the following exercises, use the formula A = 1 2 b h .

Solve for b :

  1. when A = 416 and h = 32
  2. in general
  1. b = 26
  2. b = 2 A h
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Solve for h :

  1. when A = 48 and b = 8
  2. in general
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In the following exercises, use the formula I = P r t .

Solve for the principal, P , for:

  1. I = $720 , r = 4% , t = 3 years
  2. in general
  1. P = $6000
  2. P = I ( r t )
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Questions & Answers

what is phylogeny
Odigie Reply
evolutionary history and relationship of an organism or group of organisms
AI-Robot
ok
Deng
what is biology
Hajah Reply
the study of living organisms and their interactions with one another and their environments
AI-Robot
what is biology
Victoria Reply
HOW CAN MAN ORGAN FUNCTION
Alfred Reply
the diagram of the digestive system
Assiatu Reply
allimentary cannel
Ogenrwot
How does twins formed
William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
what is genetics
Josephine Reply
Genetics is the study of heredity
Misack
how does twins formed?
Misack
What is manual
Hassan Reply
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
Joseph Reply
what is biology
Yousuf Reply
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
Joseph Reply
what is the blood cells
Shaker Reply
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
Abdullahi Reply
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
What is classification
ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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