Volume of Cylinders, Cones, and Spheres/Exponents Review

Cylinders

100

The volume of a cylinder with a radius of 3 inches and a height of 7 inches.

197.8 in³

200

The volume of the cylinder with a radius of 2 feet and a height of 10 feet.

125.6 ft³

300

The volume of a cylinder with a diameter of 12 feet and a height of 7 feet.

791.3 ft³

400

The volume of a cylinder with a diameter of 14 yards and a height of 10 yards.

1538.6 yd³

500

The volume of the water in a cylinder cup when the cup is filled halfway. The cup's base has a radius of 3 centimeters. The height of the cup is 10 centimeters. 

141.3 cm³

Cones

100

The volume of a cone with a radius of 9 inches and a height of 6 inches.

508.7 in³

200

The volume of a cone with a radius of 10 feet and a height of 4 feet.

418.7 ft³

300

The volume of a cone with a radius of 20 kilometers and a height of 40 kilometers.

16,746.7 km³

400

The volume of a cone with a diameter of 36 inches and a height of 7 inches.

2373.8 in³

500

The volume of a cone with a diameter 38 inches and a height of 38 inches.

14358.2 in³

Spheres

100

The volume of a sphere with a radius of 10 feet.

4186.7 ft³

200

The volume of a sphere with a radius of 7 inches.

1436.0 in³

300

The volume of a sphere with a diameter of 17 centimeters.

2571.1 cm³

400

The volume of a sphere with a diameter of 25 inches.

8177.1 in³

500

The volume of a sphere with a diameter of 16.4 feet.

2308.4 ft³

Product and Quotient Rule

100

Simplify

6x^4*x^2

6x^6

200

Simplify

(2n^3)/(4n^4)

1/(2n)

300

Simplify

3r^2*3r*3r^2

27r^5

400

Simplify

1/3*n^4/(3n^3)

n/9

500

Simplify

1/y*4/y^2*y/2

2/y^2

Power Rule

100

Simplify

(x^2)^3

x^6

200

Simplify

(4p)^3

64p^3

300

Simplify

(5x)^4

625x^4

400

Simplify

(n^2m^3)^4

n^8n^12

500

Simplify

(2^2p^4)^3

64p^12