Area of Circles
Circumference of Circles
Volume: Cylinders & Rectangular Prisms
Surface Area: Cylinders & Rectangular Prisms
Challenge Questions
100

Find the area of a circle with a radius of 4 cm.  Use 3.14 for pi. Round your answer to the nearest hundredth. 

50.24 cm2

100

Find the circumference of a circle with a radius of 5 cm. Use 3.14 for pi. 

31.4 cm

100

Find the volume of a rectangular prism with a length of 6 cm, width of 4 cm, and height of 3 cm.

72 cm³

100

Find the surface area of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm.

62 cm²

100

The circumference of a circle is 94.2 inches.
Find the diameter of the circle.
Use π = 3.14.

30 inches

200

A circle has a diameter of 10 inches.  What is the area?  Use 3.14 for pi.

78.5 in2

200

A circle has a diameter of 12 inches.
What is the circumference? Use π = 3.14.

37.68 in

200

Find the volume of a cylinder with a radius of 3 cm and a height of 5 cm.  Use π = 3.14.

141.3 cm³

200

Find the surface area of a cylinder with a radius of 3 cm and a height of 7 cm.  Use π = 3.14.

188.4 cm²

200

A shipping crate measures 2.5 m by 1.2 m by 0.8 m.
What is the volume of the crate?

Answer: 2.4 m³

V=lwh

V=2.5×1.2×0.8= 2.4 m³

300

Find the area of a circle with a radius of 2.5 feet.  Use 3.14 for pi.

19.6 ft2

300

A circular track has a radius of 9 meters.
How far is one lap around the track? (Find the circumference.)
Use π = 3.14.

56.52 m

300

A storage box is shaped like a rectangular prism. It is 10 inches long, 5 inches wide, and 8 inches tall.
What is the volume of the box?

400 in³

300

A shoebox is shaped like a rectangular prism with dimensions 12 inches by 8 inches by 4 inches.
What is the surface area of the shoebox?

352 in²

300

The diameter of a circular pool is 18 meters.
A deck will cover half of the pool’s surface.
How much area will the deck cover?
Use π = 3.14.

Answer: 127.17 m²

Radius = 18 ÷ 2 = 9
Full area =  π r2

3.14(92)=3.14(81)=254.343
Half area = 254.34÷2=127.17254

400

The area of a circle is 78.5 square meters.  What is the radius of the circle? Use 3.14 for pi.

5 meters

400

Find the circumference of a circle with a diameter of 7.5 feet.
Use π = 3.14. Round your answer to the nearest tenth.

23.6 ft

400

Find the volume of a cylinder with a diameter of 8.4 meters and a height of 6 meters.  Use π = 3.14. Round to the nearest tenth.

332.3 m³

400

Find the surface area of a cylinder with a diameter of 10 meters and a height of 6 meters.
Use π = 3.14.

345.4 m²

400

A company needs to paint the entire outside of a silo (including top and bottom) that is shaped like a cylinder. The silo has a radius of 6 feet and a height of 14 feet.  What is the total surface area that will be painted?  Use π = 3.14.

Answer: 753.6 ft²

Surface Area = 2πr+ 2πrh

226.08 + 527.52=753.6


500

Find the area of a semi-circle with a diameter of 14 cm.  Use 3.14 for pi.  Round to the nearest hundredth.

76.93 cm2

500

The circumference of a circle is 62.8 centimeters.
What is the radius of the circle?
Use π = 3.14.

10 cm 

500

A soup can is shaped like a cylinder with a radius of 4 cm and a height of 12 cm.
How much soup can the can hold?  Use π = 3.14.

602.88 cm³

500

A water bottle is shaped like a cylinder with a radius of 2.5 inches and a height of 9 inches.
What is the total surface area of the bottle?
Use π = 3.14. Round to the nearest tenth.

180.6 in²

500

A shipping company packs boxes into a larger storage container. The container is shaped like a rectangular prism with a length of 15 cm, a width of 8 cm, and a height of 10 cm.  Each package takes up 600 cm³ of space.  How many packages can fit inside the container?

Answer: 2 packages

Step 1: Find volume of the container
Volume = l×w×h
= 15×8×10=1200 cm3

Step 2: Divide by package size
1200÷600=2