1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
boyakko [2]
3 years ago
8

A cylindrical oil from has a diameter of 2ft and a height of 3 feet. What is the volume of the oil drum?

Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

The volume of the cylinder is 9.42ft³

Step-by-step explanation:

radius = half of diameter

r = 2ft /2 = 1ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 3ft

π = 3.14

r = radius = 1ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (1ft)²) * 3ft

v = (3.14 * 1ft²) * 3ft

v = 3.14ft² * 3ft

v = 9.42ft³

The volume of the cylinder is 9.42ft³

You might be interested in
A rectangle is shown below.
Dahasolnce [82]

Answer:

  a)  247.25 cm²

  b)  62.0 cm

Step-by-step explanation:

All of these upper-bound/lower-bound problems are worked the same way. The bounds on the measurement are presumed to be half of one unit of the least-significant digit.

Here, the least significant digit of both numbers is in the "units" place, so the maximum error is presumed to be 1/2 unit, or ±0.5 cm.

If the measurement were 7.36 inches, the least significant digit is in the hundredths place, so the maximum error is presumed to be half a hundredth, or ±0.5 × 0.01 inches = ±0.005 inches.

__

To find the bounds on the measurement, you add or subtract this maximum error from the measurement. So, for the measurements in this problem, the maximum and minimum they can be are ...

  21 cm: minimum of 21 - 0.5 = 20.5 cm; maximum of 21 + 0.5 = 21.5 cm

  11 cm: minimum of 10.5 cm; maximum of 11.5 cm

If you wanted to express these as an inequality, you'd have to remember that half-units are rounded up, so the inequalities would be ...

  20.5 cm ≤ long side < 21.5 cm

  10.5 cm ≤ short side < 11.5 cm

__

a) The area is computed as the product of the rectangle's side length measurements. The area will be a maximum when both measurements are a maximum:

  Amax = (21.5 cm)(11.5 cm)

  Amax = 247.25 cm²

__

b) The perimeter is twice the sum of the lengths of two adjacent sides of the rectangle. The minimum perimeter will be the sum using the minimum side lengths, or ...

  Pmin = 2(20.5 cm +10.5 cm) = 2(31.0 cm)

  Pmin = 62.0 cm

_____

<em>Comment on measurement bounds</em>

You have to remember that these concepts are mathematical in nature, so only an approximation of the real world. If you have ever used a tape measure to measure a distance of any length, you will have discovered a couple of things:

  • different tape measures are different lengths
  • the measurement you make depends on how tight you stretch the tape (and often, on temperature and/or humidity)
  • it is amazingly hard to choose the "nearest" measurement when the value is halfway between marks on the tape. (That is, there is some fuzziness in the boundary between nearest units.)

So, mathematically, there will be very specific definitions and procedures to follow regarding measurement values. In the real world, you have to remember these are only an approximation to reality, hopefully a useful one.

7 0
3 years ago
These two triangles are similar .Find side lengths a and b .The two figures are not drawn to scale
ziro4ka [17]

Answer:

a = 6, b = 22.5

Step-by-step explanation:

One triangle is 2.5 times bigger than the other.

9*2.5=22.5 which means b = 22.5

15/2.5=6 which means a = 6

7 0
3 years ago
Read 2 more answers
Natalie walk 3/5 mile and a 1/2 hour . how fast did she walk in in miles per hour?
Talja [164]
She walks 6/5 of a mile in 1 hour

So, she walks 1.2 miles per hour
7 0
3 years ago
Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
lukranit [14]

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

5 0
3 years ago
PLZ I REALLY NEED HELP/ i'll give brainlist and 100 points PLZZZZZ
andrew11 [14]

Answer:

Question 1: Answer would be A.

Question 2: Answer would be B.

Question 3: I cannot answer this one because an image is not provided. I do not have the image of the original triangle LMN. If you message me with a photo of this question, I will be able to answer.

Question 4: This answer may be wrong, but I believe that it would be A. I don't know how to calculate dilation transformations, but after graphing out all the points, I found that (6,4) would be the correct point because the distance between Point S and (6,4) is even and is able to be divided by two.

Question 5: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 6: Answer would be C.

Question 7: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 8: Answer would be C.

Step-by-step explanation:

Question 1 Explanation: Answer would be A because the quadrilateral was rotated 180 degrees and dilated to be larger.

Question 2 Explanation: Quadrant IV is on the bottom right, Quadrant I is on the top right. If a triangle were to be rotated from the origin (0,0), it would have to rotate 270 degrees in order to reach Quadrant I.

Question 3 Explanation:

Question 4 Explanation:

Question 5 Explanation:

Question 6 Explanation: Using a rotation calculator, I input the degree of rotation as -90.

Question 7 Explanation:

Question 8 Explanation: Using a rotation calculator, I input the degree of rotation as -180.

7 0
3 years ago
Other questions:
  • The capsules and montage families love writing. Last year,each capsule wrote 4 essays, each montage wrote 6 essays, and both fam
    11·1 answer
  • There are 3 cats in the room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
    6·1 answer
  • Two students in Mrs. Albring’s preschool class are stacking blocks, one on top of the other. Reece’s blocks are 6 cm high, and M
    6·1 answer
  • Is 15 and 1/2 like term
    6·1 answer
  • A pronghorn Antelope can run at speeds of about 59 miles per hour . what is that speed in feet per second, to the nearest whole
    7·1 answer
  • What is the equation of the line shown in this graph?
    15·1 answer
  • What is the scale factor for this?
    15·1 answer
  • 6.81 The length of time between breakdowns of an es- sential piece of equipment is important in the decision of the use of auxil
    9·1 answer
  • The table shows a proportional relationship.
    10·1 answer
  • As one of the grade 9 top performing students competing for the “Boy Scout of the Year” award, you are assigned by your scoutmas
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!