Question

The volume of a cylindrical container is 226 cubic centimeters. the radius of the container is 6 centimeters. Find the height of the containers. Round your answer to the nearest whole number.

Answer 1

volume of cylinder= π r^2 h

Answer 2

Answer:

The height of the container is approximately 2 cm.

Step-by-step-explanation:

We have given that,

Volume of cylindrical container = 226 cm³

Radius of container = 6 cm

We have to find the height of the container.

Now, we know that,

$\displaystyle{\pink{\sf\:Volume\:of\:cylinder\:=\:\pi\:r^2\:h}}$

$\displaystyle{\implies\sf\:226\:=\:3.14\:\times\:(\:6\:)^2\:\times\:h}$

$\displaystyle{\implies\sf\:226\:=\:3.14\:\times\:6\:\times\:6\:\times\:h}$

$\displaystyle{\implies\sf\:h\:=\:\dfrac{\cancel{226}}{3.14\:\times\:6\:\times\:\cancel{6}}}$

$\displaystyle{\implies\sf\:h\:=\:\dfrac{113}{3.14\:\times\:6\:\times\:3}\:\times\:\dfrac{100}{100}}$

$\displaystyle{\implies\sf\:h\:=\:\dfrac{\cancel{11300}}{\cancel{314}\:\times\:6\:\times\:3}}$

$\displaystyle{\implies\sf\:h\:=\:\dfrac{\cancel{5650}}{157\:\times\:\cancel{6}\:\times\:3}}$

$\displaystyle{\implies\sf\:h\:=\:\dfrac{2825}{157\:\times\:3\:\times\:3}}$

$\displaystyle{\implies\sf\:h\:=\:\dfrac{2825}{157\:\times\:9}}$

$\displaystyle{\implies\sf\:h\:=\:\cancel{\dfrac{2825}{1413}}}$

$\displaystyle{\implies\sf\:h\:=\:1.999}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:h\:\approx\:2\:cm}}}}$

∴ The height of the container is approximately 2 cm.