Circles 1
Circles 2
Story Problems
Volume
Surface Area
100

How can you find the diameter if you know your radius of a circle?

Multiply the radius by 2

100

Write the equation in standard form for the circle with radius 11 centered at the origin.

x2 + y2 = 121

100
Find the area of a circle with center (2,5) that passes through (2,9). Round to the nearest tenth.

50.3 squared units

100

A rectangular prism has a base that is 11 in by 17 in and a height of 31 in. Find the volume. Round to the nearest tenth.

5797 cubed inches

100

A water collection tank is shaped like a cylinder with a diameter of 12 ft and a height of 23 ft. What is the surface area? Round to the nearest tenth. 

1093.3 ft2

200

Find the circumference of the circle with a radius of 2.1 inches. Round to the nearest tenth.

13.2 in.

200

Write the equation in standard form for the circle with center (-1, 4) and radius = 10.

(x + 1)2 + (y - 4)2 = 100

200

Find the circumference of a circle with center (3,8) and passes through (3,-2). Round to the nearest tenth.

62.8 units

200

A triangular prism has a base that is 14 ft with altitude of 18 ft and a height of 21 ft. Find the volume. Round to the nearest tenth.

2646 cubed feet

200

What is the surface area of a basketball with a diameter of 12 in? Round to the nearest tenth.

452.4 in2

300

Find the circumference of the circle a diameter of 8.4 feet. Round to the nearest tenth.

26.4 feet

300

Find the equation for a circle centered between tangents x = 3, x = -5 and centered on y = -1.

(x + 1)2 + (y + 1)2 = 16

300

A Ferris wheel that has a radius of 25 feet has a duration per ride of 13 revolutions. How far does a person travel who rides on the merry-go-round? Round to the nearest tenth.

2042 feet

300

A water collection tank is shaped like a cylinder with a diameter of 12 ft and a height of 23 ft. What is the volume? Round to the nearest tenth.

2601.2 cubed cm

300

Devin made a triangular shaped cake with a base dimensions of 12 in and altitude of 8 in and a height of 4 in. How much frosting will be needed to cover the cake in 1/2 of frosting?

112 in2

400

Find the area of a circle with a radius of 5 meters. Round to the nearest tenth.

78.5 squared meters

400

Write (x + 2)2 + (y + 1)= 12 in general form.

x2 + y2 + 4x + 2y - 7 = 0

400

A merry-go-round that has a diameter of 14.2 feet has a duration per ride of 16 revolutions. How far does a person travel who rides on the merry-go-round? Round to the nearest tenth.

713.8 feet

400

A cube has a base that is 14.3 ft. Find the volume. 

2924.207 cubed ft

400

A refrigerator has inside measurements of 40 cm by 118 cm by 44 cm. What is the capacity of inside surface area?

23,344 square cm

500

Find the area of a circle with a diameter of 28.6 centimeters. Round to the nearest tenth.

642.4 squared centimeters

500
What is the center and radius for y2 + 20y + 35 = - x2 - 6x

Center: (- 3, - 10)

Radius: sqrt (74)

500

How much more crust do you get with a medium pizza with a diameter of 12 inches than a small pizza with a 10 inch diameter? Round to the nearest tenth.

6.3 more inches

500

A rectangular box is 2 inches high, 3.5 inches wide and 4 inches long. A cylindrical box is 3.5 inches high and has a diameter of 3.2 inches. Which box has a larger volume?

The cylindrical box
(rectangular box has a volume of 28 cubed inches and the cylindrical box has a volume of 28.1 cubed inches)

500

A rectangular box is 2 inches high, 3.5 inches wide and 4 inches long. A cylindrical box is 3.5 inches high and has a diameter of 3.2 inches. Which box has a larger surface area? 

The rectangular box
(rectangular box has a SA 58 square inches and the cylindrical box has a SA of 51.3 square inches)

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