The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?

The volume of the cylinder in cubic centimeters is 251.2 cm^3

The volume of a cylinder is expressed as:

GIven the following

Base area =  16π centimeters

Height = 5cm

Substitute into the formula to have:

V = 16(3.14) * 5

V = 251.2 cm^3

Hence the volume of the cylinder in cubic centimeters is 251.2 cm^3

Learn more on cylinders here: link

1,005 cubic centimeters

Step-by-step explanation:

step 1

Find the radius of the base of cylinder

The circumference is equal to

we have

so

solve for r

step 2

Find the volume

we know that

The volume of a cylinder is equal to

we have

substitute

----> exact value

Assume

substitute

so

The approximate value is  

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!