Question

A water tank has a diameter of 15 ft and is 22 ft high. a. What is the volume of the tank in ft?? b. In m?? c. In cm?

Answer 1

Answer:

a) $V = 3887.72 ft^{3}$

b)$V = 104.97 m^{3}$

c)$V = 104,968,468.538 cm^{3}$

Step-by-step explanation:

A tank has the format of a cylinder.

The volume of the cylinder is given by:

$V = \pi r^{2}h$

In which r is the radius and h is the heigth.

The problem states that the diameter is measured to be 15.00 ft. The radius is half the diameter. So, for this tank

$r = \frac{15}{2} = 7.50$ ft

The height of the tank is 22 ft, so $h = 22$.

a) Volume of the tank in $ft^{3}$:

$V = \pi r^{2}h$

$V = pi*(7.5)^2*22$

$V = 3887.72 ft^{3}$

b) Volume of the tank in $m^{3}$:

We must convert both the radius and the height to m.

Each feet has 0.30 m, so:

Radius:

1 feet - 0.30m

7.5 feet - r m

$r = 7.5*0.30$

$r = 2.25m$

Height

1 feet - 0.30m

22f - h m

$h = 22*0.30$

$r = 6.60m$

The volume is:

$V = \pi r^{2}h$

$V = pi*(2.25)^2*6.60$

$V = 104.97 m^{3}$

c) Volume of the tank in $cm^{3}$:

Each m has 100 cm.

So $r = 2.25m = 225cm$

$h = 6.60m = 660cm$

The volume is:

$V = \pi r^{2}h$

$V = pi*(225)^2*660$

$V = 104,968,468.538 cm^{3}$