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
Illusion [34]
2 years ago
8

Help ASAP with working if possible ​

Mathematics
1 answer:
NARA [144]2 years ago
3 0

Answer:

1.  The volume of the cylinder is approximately 0.153 m³

2. 25 cm

3. 25.\overline 6 \ cm

4. 16 m

5. 1,785 m³

Step-by-step explanation:

The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid

1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top

The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m

The area of the circular cross-section, A = π·d²/4

∴ A = π × 0.5²/4 = 0.0625·π

A = 0.0625·π m²

The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m

∴ The volume of the cylinder, V = A × h

∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153

The volume of the cylinder, V ≈ 0.153 m³

2. The given volume of the trapezium, V = 8550 cm³

The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively

The height of the trapezium from the diagram, h = 18 cm

The cross-sectional area of the trapezium, 'A', is found as follows;

A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²

The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium

∴ l = V/A

By substitution, we have;

l = 8550 cm³/(342 cm²) = 25 cm

∴ The Missing Length, l = 25 cm

3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³

The area of the (uniform) cross-section of the solid, A = 15 cm²

∴ The length of the solid, 'l', from V = A × l, is given as follows;

l = V/A

∴ l = 385 cm³/(15 cm²) = 25.\overline 6 cm

The length of the solid, l = 25.\overline 6 cm

4. From the diagram, we have;

The cross-sectional area of the solid, A = 216 m²

The length of the solid, l = 16 m

5. The cross-section of the solid can  can be assumed to be either;

1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.

2. A triangle located above a rectangle

For scenario one, we have;

The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25

For scenario two, we find 'A' as follows;

A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25

∴ The cross-sectional area of the solid, A = 89.25 m²

The length, 'l', of the solid, is given as l = 20 m

The volume of the solid, V = A × l

∴ V = 89.25 m² × 20 m = 1,785 m³

The volume of the solid, V = 1,785 m³.

You might be interested in
00:00:05
Taya2010 [7]
26 maybe it can be ım not sure
8 0
3 years ago
What is the value of x ??
ruslelena [56]

Answer:

A

Step-by-step explanation:

The Tangent-Secant Exterior Angle Measure Theorem states that if a tangent and a secant or two tangents/secants intersect outside of a circle, then the measure of the angle formed by them is half of the difference of the measures of its intercepted arcs. Basically, what that means here is that x equals half of the difference of 30\textdegree and the measure of the unlabeled arc.

First, we need to find the measure of the unlabeled arc, since we can't find x without it. We know that the measure of the full arc formed by the circle is 360\textdegree, so the measure of the unlabeled arc must be 360-30-100-100=130\textdegree by the Arc Addition Postulate.

Now, we can find x. Using all of the information known, we can solve for x like this:

\\x=\frac{1}{2} (130\textdegree-30\textdegree)\\=\frac{1}{2} (100\textdegree)\\=50\textdegree

Hope this helps!

5 0
2 years ago
Can someone help me please :(
AleksAgata [21]
Sure honestly don’t know this
5 0
2 years ago
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
xeze [42]

10% of 500 is 50.

500-50 = 450

The reduced price is 450

7 0
2 years ago
Read 2 more answers
What is the solution to y = x-3 × -1
kenny6666 [7]

Y= x - 3x - 1

Y = -2x - 1

5 0
2 years ago
Read 2 more answers
Other questions:
  • The food service manager conducted a random survey of students to determine their preference for new lunch menu items. Which of
    11·1 answer
  • Lisa cut a rope that was 19.75 meters long into 3 pieces. The first piece was 6.4 meters long, the second was 4.36 meters long.
    14·1 answer
  • 100 POINTS QUESTION ON ATTACHMENT
    8·2 answers
  • What is the simplified expression for –2a2b + a2 – 5ab + 3ab2 – b2 + 2(a2b + 2ab)?
    12·1 answer
  • Which fraction belongs in the box to make the expression true? 1/4 < ___< 7/8. A. 1/5. B. 8/9. C. 2/10. D. 10/20
    11·2 answers
  • A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home te
    13·1 answer
  • The difference of two numbers is 6 and their product is 55 what are the two numbers
    6·1 answer
  • Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
    10·1 answer
  • The factory is building cardboard cereal boxes. Each box is 10 inches long, 3 inches wide, and 12 inches tall. How many square i
    13·1 answer
  • HELP WITH DIS QUESTION.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!