All categories

3 years ago

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 larger of two numbers is 10 less than twice the smaller number. if the sum of the two numbers is 38, find the tqo nubers

Iteru [2.4K]

Let two number A and B, and A >B

as we know A+10=2B① && A+B =38②

①-② solve that
B=16 so A=22

so, they are 16 and 22

3 0

3 years ago

0.0793 kg= __ cg please help fast.

Inga [223]

0.0793 kg equals 7930 cg

7 0

4 years ago

Read 2 more answers

Help me please!! As soon as you can!!

Mrrafil [7]

The answer: X plus X+4

3 0

3 years ago

A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067$

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is made

c) What is the probability that seven people make a purchase in the next four minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

$\mu = 4*5 = 20$

We have to find P(X = 7).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005$

0.05% probability that seven people make a purchase in the next four minutes

8 0

4 years ago

Earth Day 40 people volunteer to work at the city park clean-up 10 of the 40 volunteer are high school student the coordinator w

o-na [289]

Answer:

25%

Step-by-step explanation:

5 0

3 years ago