Cylinders
Cones
Spheres
Surface Area
Word Problems
100

Formula for the volume of a cylinder

兀r2h=V

100

Formula for the volume of a cone.

V=1/3hπr²

Bh/3

100

What is the Formula for the volume of a sphere?

V = 4/3 πr³

100

What is the surface area of a cylinder with a radius of 5 in, and height of 10 in.?

Use 3.14 for pi and round to the nearest tenths

471 in2

100

John has a cylinder and a ball that both have the same radius. The radius of the sphere is 12 cm, and the height of the cylinder is 20 cm. John decides to glue the sphere on top of the cylinder because he's bored. What is the volume of the two shapes?

Use 3.14 for pi and round to the nearest tenths

16,277.8 cm2

200

Volume of a cylinder with a radius of 6 in and a height of 4 in

Use 3.14 for 兀

Round to the tenths

V=452.2 in3

200

Volume of a cone with a radius of 5 cm and a height of 12 cm.

Use 3.14 for 兀

Round to the tenths

314 cm3

200

Volume of sphere with a radius of 3 in.

Use 3.14 for 兀

Round to the tenths

113 in3

200

Surface area of a cone with a radius of 3 cm and a slant height of 12 cm?

Use 3.14 for pi and round to the nearest tenths

141.3 cm2

200

John has a cone. The cones radius is 4 cm and it's height is 7 cm. What is the volume of John's cone?

Use 3.14 for pi and round to the nearest tenths

117.2 cm3

300

Volume of a cylinder with a diameter of 8in and a height of 10in

Use 3.14 for 兀

Round to the tenths

502.4 in3

300

Volume of a cone with a diameter of 22 cm, and a height of 10 cm.

Use 3.14 for 兀

Round to the tenths

1266.5 cm3

300

Volume of a sphere with a diameter of 12 in.

Use 3.14 for 兀

Round to the tenths

904.3 in3

300

Surface area of a sphere with a diameter of 12 ft.

Use 3.14 for pi and round to the nearest tenths

452.2 ft2

300

Find the surface area of a sphere that has a diameter of 10 m.

Use 3.14 for pi and round to the nearest tenths.

314 m2

400

Volume of a cylinder with a radius of 1.5in and a height of 4in.

Leave your answers in terms of pi.

9兀

400

Volume of a cone with a radius of 6 in and a height of 9 in

Leave answers in terms of pi.

108 pi iπ3

400

Find the volume of a sphere with a radius of 9.5 cm.

Leave answer in terms of pi.

1,143.2 pi cm3

400

Surface area of a hemisphere with a radius of 25 mm.

Use 3.14 for pi and round to the nearest tenths

3,925 mm2

400

The surface area of a sphere is 1,256 ft. What is the diameter of the sphere? 

Use 3.14 for pi and round to the nearest tenths.


Diameter is 20 ft.

500

John bought a coffee in a cup shaped like a cylinder with a radius of 5 centimeters and a height of 15 centimeters. John fills the cup with coffee but leaves 4.5 centimeters of space for cream. What is the volume of the cylinder?

Use 3.14 for 兀

Round to the tenths

1177.5  cm3

500

John made a cylinder with a volume of 63 cubic cm. John's twin brother, Jon, made a cone with the same height and radius of John's cylinder. What is the volume of Jon's Cone.

Use 3.14 for pi and round to the nearest tenths

21 cm3

500

An orange has a Diameter of 5 cm. What is the volume?

Use 3.14 for 兀

Round to the tenths

523 cm3

500

Surface area of a cone with a diameter of 6 cm and height of 4 cm. 

Hint: you need to find the slant height first

Use 3.14 for pi and round to the nearest tenths

75.4 cm2

500

What is the radius of a cone if the height is 20 cm volume is 523.3 cm?

Use 3.14 for pi and round to the nearest tenths.

5 cm