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
Eva8 [605]
3 years ago
12

What is the volume of this loaf of bread, assuming that the top part of the end of the loaf is a semi-circle? Show all work.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

Answer:

Step-by-step explanation:

We would section the bread into a cuboid at the bottom and a semi cylinder at the top.

Considering the bottom, the formula for determining the volume of a cuboid is expressed as

Volume = length × width × height

Therefore,

Volume = 20 × 11 × 6 = 1320 cm³

Considering the semi cylinder,

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder

h represents the height of the cylinder.

π = 3.14

Looking at the diagram,

Height = 20 cm

Diameter = 11 cm

Radius = diameter/2 = 11/2 = 5.5 cm

Since it is a semi cylinder, then

Volume = 1/2 × 3.14 × 5.5² × 20 = 949.85 cm³

Therefore, volume of this loaf of bread is

1320 + 949.85 = 2269.85 cm³

You might be interested in
The price of a pair of shoes is $28. The sales tax rate is 2.39 percent. What is the total amount you would pay if you bought th
Ilia_Sergeevich [38]
You would have to pay a total of $28.67
3 0
3 years ago
Please help
rewona [7]

Answer:

125.6m^2

Step-by-step explanation:

Let R be the greater radius and r be the smaller radius

Area of the sidewalk = R^2 - r^2 - This can be the expression

= 3.14

=(R^2-r^2)

=(11^2-9^2)

=(121-81)

= 40

= 3.14 x 40

5 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
mote1985 [20]

Answer:

Step-by-step explanation:

11.81 times 11.81= 139.4761in

6 0
3 years ago
The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin
bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0
3 years ago
The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 54 yd?. Find the dimensions of the
s344n2d4d5 [400]

Answer:

The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.

Step-by-step explanation:

Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:

2X + 3 + X = 54

3X + 3 = 54

3X = 54 - 3

X = 51/3

X = 17

(17 x 2) + 3 = 37

Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.

4 0
3 years ago
Other questions:
  • A piece of lumber is 17 feet long, You cut the lumber into logs that are 18 inches long, how many 18 inch logs do you cut from t
    12·2 answers
  • What is the missing table value?
    9·2 answers
  • Simlify 1/2+5/8 and 2/3+ 1/4
    7·1 answer
  • Can some one please help me
    13·1 answer
  • 2+2+3+4+4+5+5+8+9+5800= ??????????????? divided by 6 times 34 bb
    15·1 answer
  • Y=2x^2+5 when x=4... Help
    14·1 answer
  • If the sum of the interior angle measures of a polygon is 3600°, how many sides does the polygon have? A. 22 sides B. 20 sides C
    5·1 answer
  • • Is this a parallelogram?<br> • Defend your answer.
    5·1 answer
  • What is 1/3÷1/2 math answers?
    6·2 answers
  • A customer deposits $500 in an account that pays 5% annual interest.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!