A designer of soup cans wants to redesign the cans by enlarging the area of the base to three times the original size. The new can should hold the same amount of soup. How should the designer change the height of the can?

Answers

Answer 1

The designer should change the height of the can and maintain the same volume by doubling the area of the base of the can.

How to change the height of the can

Area of a cylinder, V= πr²h

Where:

r= base radiush= height.

Area of the base, A= πr²

So,

volume of the cylinder;

V= A×h

For instance,

if volume of a cylinder is 50cm³ and area of the base is 10cm²

V= A*h

50 = 10 × h

50 = 10h

h = 50/10

h = 5cm

If the area of the base is doubled at a constant volume, that is A = 20cm², V = 50cm²

V= A×h

50 = 20 × h

50 = 20h

h = 50/20

h = 2.5 cm

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Related Questions

Saul paid off a loan with a simple interest rate of 4.7% in 9 months. what was the apr?

Answers

The annual percentage rate (APR) for Saul loan who paid off a loan with a simple interest rate of 4.7% in 9 months is 6.3%.

What is equivalent ratio?

Equivalent ratio is the ratio which is same in the value as the original ratio but the numerator and denominator is different for both the ratios.

Saul paid off a loan with a simple interest rate of 4.7% in 9 months. Here, the rate of interest is 4.7%. The time period is 9 months. Thus, the ratio for rate to month is,

[tex]r=\dfrac{4.7}{9}[/tex]

Let the annual percentage rate (APR) is x%. Thus, the rate in 12 months is,

[tex]\text{12 months - x\%}[/tex]

[tex]r=\dfrac{x}{12}[/tex]

Comparing both the ratios,

[tex]\dfrac{x}{12}=\dfrac{4.7}{9}\\x=\dfrac{4.7}{9}\times 12\\x\approx 6.3\%[/tex]

Hence, the annual percentage rate (APR) for Saul loan who paid off a loan with a simple interest rate of 4.7% in 9 months is 6.3%.

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What is the denominator of the simplified expression? 2 n

Answers

The expression [tex]\frac{2n}{6n + 4} * \frac{3n + 2}{3n - 2}[/tex] is a product expression

The denominator of the simplified fraction is 3n -2

How to determine the denominator?

The expression is given as;

[tex]\frac{2n}{6n + 4} * \frac{3n + 2}{3n - 2}[/tex]

Divide the first fraction by 2/2

[tex]\frac{n}{3n + 2} * \frac{3n + 2}{3n - 2}\\[/tex]

Evaluate the above product

[tex]\frac{n}{3n - 2}[/tex]

The above fraction is a simplified fraction of [tex]\frac{2n}{6n + 4} * \frac{3n + 2}{3n - 2}[/tex], and the denominator is 3n - 2

Hence, the denominator of the simplified fraction is 3n -2

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Oraciones complete the sentences with the correct form of the appropriate verb from the list. one verb is used more than once.

Answers

There are different kinds of verbs. The correct form of the verbs is  Mis amigos salen conmigo al centro.

What are Spanish verbs?

Spanish verbs are known to be a kind of verbs that often create one or more complex aspect of Spanish grammar. its example is Haber whih means to have in English.

In the above, salen is the best form of verb for the sentence "Mis amigos salen conmigo al centro"as it tells the action at that point.

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A circle has a diameter of 26 units what is the area

Answers

Answer:

530.93 units squared

Explanation:

The formula for the area of a circle is pi*r^2. The radius is half the diameter. So, 26/2 = 13.

pi*13^2 = ?

pi*169 = 530.93

The area is 530.93 units squared.

Ruby's dog has 8 puppies. the puppies include white females

Answers

The probability of choosing a puppy that is female and white from the given sample we have is; 25%

How to solve conditional probability?

The question asks for the probability that Ruby will randomly choose a puppy that is female and white. This is not mutually exclusive events or joint.

White female = 8 - (3 + 1 + 2)

White Female = 2 puppies

Mixed colored females = 3

White male = 1

Mixed colored male = 2

Total number of puppies = 8

Thus, the probability of choosing a puppy that is female and white is;

P(choosing a female puppy) = 2/8 = 1/4 = 25%

Complete question is;

Rubys dog has 8 puppies. the puppies include white females, 3 mixed color females, 1 white male, and 2 mixed color males. ruby wants to keep one puppy.what is the probability that she randomly chooses a puppy that is female and white

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Are plants that produce seeds and flowers. brainly

Answers

Answer:

ofcourse

plant produce seeds and flowers

Answer:

NO

Explanation:

ALL PLANT produce seeds and flowers.only green plant prepare their food and produce seed and flower

A teacher tells her students that a large jar of marbles contains 55% red marbles. students randomly select a sample of 40 marbles and determined the proportion of red marbles. one sample a student selected contained 16 red marbles. assuming the teacher’s claim is true, 100 simulated proportions are displayed in the dotplot. using the dotplot and sample proportion, is there convincing evidence that the teacher’s claim is false? yes, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. yes, because a proportion of 0.40 or less occurred only 2 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or less occurred 2 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false.

Answers

There is convincing evidence that the teacher's claim is false because:

"a proportion of 0.45 or more occurred 87 out of 100 times" (Option A).

Why is the Teacher's Claim False?

The teacher's claim is false because a percentage of 0.45 or more occurred 87 out of 100 times.

What this says is that the sample of red marbles is statistically significant.

Therefore, the teacher's claim that the large jar of marbles contains 55% red marble is false.

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Answer:

b

Explanation:

b

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