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<u>Given</u>:
A cylindrical tank has a height of 10 feet.
The radius of the cylindrical tank is 4 feet.
Jane fills the tank with water at a rate of 8 cubic feet per minute.
We need to determine the time it will take for Jane to completely fill the tank without overflowing it.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
Substituting the values, we have;
Thus, the volume of the cylinder is 502.4 cubic feet.
<u>Time taken:</u>
The time taken can be determined using the formula,
Substituting the values, we have;
Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.
Answer:
1.
2. <u>Given</u>
3.
4. <u>Side-Side-Side (SSS) rule of congruency</u>
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ≅
Given
2. ≅
<u>Given</u>
3. ≅
Reflexive property
4. ΔRST ≅ ΔTUR <u>SSS rule of congruency</u>
The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.