Answer:
- C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)
Step-by-step explanation:
Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.
<u>Volume of cylinder up to water level:</u>
- Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)
<u>Volume of marbles:</u>
- Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)
<u>Volume of water:</u>
- Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)
Correct choice is C
Answer:
1/4
Step-by-step explanation:
First - Convert all fraction with the Greatest Common Factor of 12
12 1/2 = 150/12
4 1/4 = 51/12
2 2/3 = 96/12
Second - Subtract the patio wood and the total
150/12 - 51/12 - 96/12 = 3/12
Third - Simplify 3/12 to 1/4
1/4 of the total wood is left to build the frame of the birdhouse.
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Answer:
3
Step-by-step explanation:
Put the given numbers in the formula and do the arithmetic.
f(2) = -2·f(1) = -2·(-1.5) = 3
The next term of the sequence is 3.