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Delvig [45]
3 years ago
10

The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the

formula for r​ . Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

a) r = √V/6π

b) r = 8 inches

Step-by-step explanation:

a) The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the formula for r​ .

Solving for r means making r the subject of the formula

= V=6πr²

Divide both side by 6π

V/6π = 6πr²/6π

r² = V/6π

r = √V/6π

b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.

r = √V/6π

V = 1206 ft³

r = √1206/6π

r = √(63.98028712294193)

r = 7.9987678503 inches

Approximately r = 8 inches

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A rectangle has verticles (6,4), (2,4) (6,-2), and (2,-2. What are the coordinates of the verticles of the image after dilation
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After obtaining a warrant, the police attached GPS tracking device to the car of a murder suspect. Suppose the car was located a
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Answer:

Part a) The coordinates of the suspect's car at its final destination are (4,4)

Part b) The distance traveled by the suspect was 10 miles

Part c) d=5.66\ mi

Step-by-step explanation:

The correct question in the attached figure

Part a) What are the coordinates of the suspect's car at its final destination?

we know that

The original position is the origin of a Cartesian coordinate system (0,0)

1) The suspect's car was tracked going 5 mi due east

That means----> 5 mi at right

the new coordinates are (5,0)

2) The suspect's car was tracked going 4 mi due north

That means----> 4 mi up

the new coordinates are (5,4)

3) The suspect's car was tracked going 1 mi due west

That means----> 1 mi at left

the new coordinates are (4,4)

therefore

The coordinates of the suspect's car at its final destination are (4,4)

Part b) What was the distance traveled by the suspect?

The distance traveled is  

5 mi due east + 4 mi due north + 1 mi due west

5+4+1=10\ mi

therefore

The distance traveled by the suspect was 10 miles

Part c)  What is the distance as the crow flies between the original position and the final position of the suspect's car?

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Remember that

The original position was (0,0) and the final position was (4,4)

substitute in the formula

d=\sqrt{(4-0)^{2}+(4-0)^{2}}

d=\sqrt{(4)^{2}+(4)^{2}}

d=\sqrt{32}\ mi

d=5.66\ mi

5 0
3 years ago
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