Question

A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320π cubic feet. What is the diameter, in feet, of the water tank?

Answer 1

The formula for volume of a cylinder is  V=π r^2 h.
So plug in,
320π=π r^2 20
solve (sadmep (opposite of pemdas))
divide pi out
320=r^2 20
divide 20 out
16=r^2
square root of 16 is 4, so the radius is 4. 
Since the 2r=d, the diameter is 8.
P.s. lol it thought I was copying an answer from online...

Answer 2

Based on the calculations, the diameter of this right-circular cylindrical water tank is equal to 8 feet.

Given the following data:

Height of cylinder = 20 feet.

Volume of cylinder = 320π cubic feet.

How to calculate the volume of a cylinder?

Mathematically, the volume of a right-circular cylinder is given by this formula:

V = πr²h

Where:

• h is the height.

• r is the radius.

Making r the subject of formula, we have:

r = √(V/πh)

Substituting the given parameters into the formula, we have;

r = √(320π/π20)

r = √(320/20)

r = √(16)

Radius, r = 4 feet.

Now, we can find the diameter:

Diameter = 2r

Diameter = 2 × 4

Diameter = 8 feet.

Read more on right-circular cylinder here: brainly.com/question/21367171