Question

The volume, V, of a cylinder, whose radius is 5 times its height is given by V = 1/5 pi r^3, where r is the radius. a) Identify the coefficient and exponent of this power function. The coefficient is The exponent is b) If the radius is 6 cm, what is the volume? middot pi cubic cm. c) If the height is 1.4 cm, what is the volume? middot pi cubic cm. By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor.

Answer 1

a)

The coefficient is : 1/5 pi

The exponent is: 3

b)

V = 135.717 cm^3

c)

V = 215.513 cm^3

Explanation:

Hello!

a)

The coefficient is the number that is multiplying your variable, and the exponent is the number your variable is being multiplied to that power.

In the present case:

The coefficient is : 1/5 pi

The exponent is: 3

b)

If the radius is 6 cm:

V = 1/5 pi (6 cm)^3

V = 135.717 cm^3

c)

If the height is 1.4 cm, then the radius must be (1.4*5)cm = 7 cm

V = 1/5 pi (7 cm)^3

V = 215.513 cm^3