Question

A rainwater collection system uses a cylindrical storage tank with a diameter of

Answer 1

Answer:

157079.6

Step-by-step explanation the formula to find volume of a cylinder is pi radius squared(half of diameter) times height.

Answer 2

Answer:

157,080 cubic centimeters.

Step-by-step explanation:

We have been given that a rainwater collection system uses a cylindrical storage tank with a diameter of  50 centimeters and a height of 80 centimeters. We are asked to find the volume of water.

We know that volume of water will be equal to volume of tank. To find the volume of tank, we will use volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$, where,

r = Radius of cylinder,

h = Height of cylinder.

We know that diameter is two times radius, so radius of cylinder would be half of 50 cm, that is 25 cm.

$\text{Volume of cylinder}=\pi (\text{25 cm})^2\times \text{80 cm}$

$\text{Volume of cylinder}=\pi \times 625\text{ cm}^2\times \text{80 cm}$

$\text{Volume of cylinder}=\pi \times 50,000\text{ cm}^3$

$\text{Volume of cylinder}=157,079.632679\text{ cm}^3$

$\text{Volume of cylinder}\approx 157,080\text{ cm}^3$

Therefore, the volume of water is 157,080 cubic centimeters.