Question

1. Mac is about to sue his contractor who promised to install a water tank that holds 1880 gallons of water. Mac knows that 1880 gallons is the capacity of a tank that holds 251 cubic feet. The cylindrical tank has a radius of 6 feet and height of 2 feet 2 inches. Does the evidence indicate Mac can win the case against the contractor if it goes to​ court?
2. Does the evidence indicate Mac can win the case against the contractor if it goes to​ court? Select the correct choice below and fill in the answer box within your choice.
​(Round to the nearest whole number as​ needed.)
A. No, the water tank is about __ cubic feet too small.
B. ​No, the water tank is about __ cubic feet too large.
C. ​Yes, the water tank is about __ cubic feet too small.
​D. Yes, the water tank is about __ cubic feet too large.

Answer 1

Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

Remember that

$1\ ft=12\ in$

we have

$r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft$

assume

$\pi =3.14$

substitute

$V=(3.14)(6)^{2}(\frac{13}{6})$

$V=244.92\ ft^3$

Compare with 251 cubic feet

$244.92\ ft^3 < 251\ ft^3$

therefore

Yes, the water tank is about 245 cubic feet too small