Circumference, Area, Volume & Surface Area of Cylinders

If the circumference of a circle is 20 inches, what is the radius? Round your answer to the nearest tenth. Please do not put in a label.

r = _____ inches.

Mathematical Equivalence

ON

Answer explanation

3.2

The top of a round table has a diameter of 4.5 ft. What is the area? Round your answer to the nearest hundredth. Please do not enter a label.

A = ______in squared

Mathematical Equivalence

ON

Answer explanation

A = 3.14 x r x r

d = 4.5

(divide by 2 to get radius)

r = 2.25

3.14 x 2.25 x 2.25 = 15.89625

A = 15.90

 

 An outside game is played on a circular playing field.

¼ of the circle can be used as 

 a free space. What is the area of free space

 to the nearest tenth of a yard? A =_____ yd squared.

Mathematical Equivalence

ON

Answer explanation

28.3

d = 12

12 divided by 2 = radius

r = 6

A = 6 x 6 x 3.14 is the whole area divide by 4 to get the answer

  What is the distance of the rounded part on the free space to the nearest tenth?

C = _____ yd

Mathematical Equivalence

ON

Answer explanation

9.4

C = 3.14 x12 divide by 4 to get your answer

Find the area of the top of the blueberry pie piece. Round to the nearest thousandth.

A = _____ in squared

Mathematical Equivalence

ON

Answer explanation

9.818

A = b x h divide by 2

The peanut jar is 6 inches tall. Find the volume of the jar?

Round your answer to the nearest hundredth.

V = ________ inches cubed

Mathematical Equivalence

ON

Answer explanation

75.36

B = area of the base x height

3.14 x r x r x h

Find the surface area. Round to the nearest tenth.

Mathematical Equivalence

ON

Answer explanation

SA = 3.14 x d x h + 2 x 3.14 x r x r

You are playing a tossing game. If you land on the white sections you get 3 points. Landing on the purple square gives you no points. What is the total area that will give you points? Round to the nearest square centimeter.

Mathematical Equivalence

ON

Answer explanation

Area of the circle minus the Area of the square

3.14 x 6 x6 - 9 x 9

What is the surface area of the cylinder? Round your answer to the nearest square inch. (whole number)

Mathematical Equivalence

ON

Answer explanation

d = 8

h = 12

r = 4 (8 divided by)

SA =3.14 x d x h + 2 x 3.14 x r x r

SA=3.14 x 8 x 12 + 2 x 3.14 x 4 x 4

SA = 301.44 + 100.48

SA = 401.92

SA = 402