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.

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calculista calculista · Answer 1 · 2020-03-23T04:14:25+01:00

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

[tex]V=\pi r^{2} h[/tex]

Remember that

[tex]1\ ft=12\ in[/tex]

we have

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

assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=(3.14)(6)^{2}(\frac{13}{6})[/tex]

[tex]V=244.92\ ft^3[/tex]

Compare with 251 cubic feet

[tex]244.92\ ft^3 < 251\ ft^3[/tex]

therefore

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