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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

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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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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