Question

Steve bought a new graduated cylinder for his chemistry class.It holds 1,058.75 of liquid. If the cylinder has a radius of 5.5 cm, then how tall is the cylinder?

(1 millimeter is equal to 1 cubic centimeter)

A.) 96 cm
B.) 37,056 cm
C.) 193 cm
D.) 35 cm

Answer 1

D. 35 cm

Explanation:

Use the definition of volume of a cylinder:

`V=\pi r^2h`

Where V is the volume, r is the radius, and h is the height.

Replace the known values in:

`1058.75\pi cm^3=\pi 5.5^2h\\1058.75\pi =\pi 30.25h\\1058.75=30.25h\\35=h`

And voila!

Answer 2

35 cm

Explanation:

volume of cylinder = πr²h

πr²h = 1058.75π

Divide both sides by π.

r²h = 1058.75 cm³

r = 5.5 cm

Substitute r² with (5.5 cm)².

(5.5 cm)²h = 1058.75 cm³

h = 1058.75/30.25 cm

h = 35 cm