Question

The diameter of a cylindrical container is 22cm. If the volume of the container is 1331cm³, calculate its height.

​

Answer 1

Answer is 3.5 cm

Step by step

For cylinders we know
Volume = pi x radius ^2 x height

We know volume is 1331
We know pi = 3.14
We know radius is 11 (diameter is 22, so radius is 1/2 of that, so r=11)
We are looking for height “H”

Fill in the numbers into the formula

1331 = 3.14 x 11^2 x H

1331 = 3.14 x 121 x H

1331 = 380 H

Divide both sides by 380 to solve for H

1331/ 380 = 380/ 380 H

3.5 = Height

Problem solved!

Answer 2

3.5cm

Explanation:

Vol=πr²h

Transposing for h,=vol÷πr²

where r=22/2=11cm and taking π=3.142

h=1331/(3.142×(11)²)=3.5cm