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
Kisachek [45]
1 year ago
8

*GEOMETRY*please help me find the surface area of the solid along with the volume of it step by step!

Mathematics
1 answer:
Serjik [45]1 year ago
4 0

Surface area of the solid = 7.1781 in²

Volume of the solid = 0.804 in³

Explanation:

Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder

surface area of a square prism = 2(lw + lh + wh)

l = length = 1 in

w = length = 1 in

h = height = 1 in

\begin{gathered} \text{Surface area = 2(1}\times1\text{ + 1}\times1\text{ + 1}\times1) \\ \text{Surface area = 2(1 + 1 + 1) = 2(3)} \\ \text{Surface area = 6 in }^2 \end{gathered}

using the value π as it is on the calculator

Base area of a cylinder = πr²

2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927

Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708

Surface area of the solid = 6 - 0.3927 + 1.5708

Surface area of the solid = 7.178 in²

Volume of the solid = Volume of the square prism - volume of the cylinder

Volume of square prism = length × width × height

length = 1 in, width = 1 in, height = 1 in

Volume of the solid = 1 in × 1 in × 1 in = 1 in³

Volume of a cylinder = πr²h

Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196

Volume of the solid = 1 - 0.196

Volume of the solid = 0.804 in³

You might be interested in
Difference between 1 8/10 and 2 2/5
Eva8 [605]
The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:

1 8/10   -->   18/10
2 2/5   -->   12/5

Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:

12/5 * 2/2 = 24/10

Now we can set up the equation as:

18/10 - 24/10 = -6/10   -->   -3/5

The answer is negative 3/5.

I hope this helps.
5 0
3 years ago
In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x
miv72 [106K]

Answer:

The answer is below

Step-by-step explanation:

The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.

Therefore:

∠MON = ∠MOP + ∠NOP (angle addition postulate)

Substituting values gives:

124 = (2x + 1) + (2x + 1)

124 = 2x + 2x + 1 + 1

124 = 4x + 2

subtracting 2 from both sides of the equation:

124 - 2 = 4x + 2 - 2

4x = 122

Dividing through by 4:

4x / 4 = 122 / 4

x = 30.5

Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°

∠MOP = 62°, ∠NOP = 62°

5 0
3 years ago
El -2,4 es un número entero✨<br>Gracias!!! ✨✨✨​
Marizza181 [45]

Answer:2

Step-by-step explanation:

subtract

3 0
3 years ago
I don't know how to do this, I wasn't paying attention in class
solmaris [256]

Answer:

39.837168574084177751131265854635

Step-by-step explanation:

If you plug it into a calculator, you get that.

Next time, please pay attention in class and save us all a little trouble.

7 0
2 years ago
The large sphere has a diameter of 20 feet. Which expression represents the volume, in cubic units, of the shaded part of the sp
Marat540 [252]
<span>the answer is b. π(10^3) – π(4^3)</span><span>                                                       </span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the sum of 2+2??
    6·1 answer
  • What is the square root of 5?
    14·2 answers
  • What is 70/80 as a decimal
    11·1 answer
  • Hurry pleasee
    12·1 answer
  • -8 x+3=-29 what is x?
    8·1 answer
  • 8x-1&lt;15<br> NO one will help plss someone hellpppp
    7·2 answers
  • Tell whether the ratios form a proportion. 1/3, 7/21
    7·2 answers
  • This model represents an equation.
    6·1 answer
  • 10^2= ?<br> If you like Rollercoaster vids pls subscribe to SR Vlogs (Rollercoasters) on yt ❤️❤️
    13·2 answers
  • Your friends and you notice a classmate who always has brand new clothes, shoes, and electronics. What would you need to know in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!