Question

Could someone help me with number 4? as long as A, B, C

Answer 1

Part A.

To determine the volume of the barrel we use the formula for the volume of a cylinder:

`V=r^2\pi h,`

where r is the radius of the base of the cylinder and h is its height.

For the barrel:

`\begin{gathered} h=27\text{ in, } \\ r=\frac{25\text{ in}}{2}=12.5in. \end{gathered}`

Substituting the above values in the formula, we get:

`V=13246.875in^3.`

Answer part A:

`V=13,246.875\imaginaryI n^3`

Part B.

Recall that:

`1\text{ gallon=231in}^3.`

Answer part B: There are 231 cubic inches in 1 gallon.

Part C.

Diagram:

The barrel can contain 57 gallons of water, if it is at 2/3 of its capacity then there are

`57gallons*(2)/(3)=38\text{ gallons}`

of water inside the barrel.

Answer part C:

`38\text{ gallons.}`