All categories

2 years ago

Please help Worth 20 points Show the work

Mathematics

1 answer:

Dvinal [7]2 years ago

4 0

Answer:

area: 60π cm² ≈ 188.5 cm²
volume: 63π cm³ ≈ 197.9 cm³
doubling the radius

Step-by-step explanation:

The surface area of a right cylinder is given by the formula ...

SA = 2πr(r +h) . . . . . radius r, height h

Filling in the given values, we find the area to be ...

SA = 2π(3 cm)(3 +7 cm) = 60π cm² ≈ 188.5 cm²

The volume of the cylinder is given by the formula ...

V = πr²h . . . . . radius r, height h

Filling in the given values, we find the volume to be ...

V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³

The volume is proportional to r², so doubling the radius will multiply the volume by 2² = 4.

The volume is proportional to the height, so multiplying the height by 3 will multiply the volume by 3.

4 > 3, so doubling the radius gives the most volume

You might be interested in

A gram is equivalent to 0.0353 ounces. One ounce is how many grams? Round to the nearest tenth.

Artemon [7]

Answer:

Your answer is 28.3495

Brainliest is appreciated

5 0

2 years ago

Read 2 more answers

I get

dybincka [34]

Answer:

Absolute minimum = 1.414

Absolute maximum = 2.828

Step-by-step explanation:

$g(x,y)=\sqrt {x^2+y^2} \ constraints: 1\leq x\leq 2 ,\ 1\leq y\leq2$

For absolute minimum we take the minimum values of $x$ and $y$ .

$x_{minimum} =1\\y_{minimum}=1\\$

Plugging in the minimum values in the function.

$g(1,1)=\sqrt {1^2+1^2}\\g(1,1) = \sqrt{1+1}\\g(1,1)=\sqrt {2}\\g(1,1)=\pm 1.414\\$

Absolute minimum value will be always positive.

∴ Absolute minimum = 1.414

For absolute maximum we take the maximum values of $x$ and $y$ .

$x_{maximum} =2\\y_{maximum}=2\\$

Plugging in the maximum values in the function.

$g(2,2)=\sqrt {2^2+2^2}\\g(2,2) = \sqrt{4+4}\\g(2,2)=\sqrt {8}\\g(2,2)=\pm 2.828\\$

Absolute maximum value will be always positive.

∴ Absolute maximum = 2.828

3 0

3 years ago

Question 15 I mark as brainliest

Nesterboy [21]

If imma be honest I don’t understand that

7 0

3 years ago

The ratio of boys to girls in a classroom is 7 to 11. If

Vesna [10]

Answer:

Step-by-step explanation:

The ratio of boys to girls is

, and there are

boys, so therefore there are

⋅

girls

Total number of boys and girls in the classroom is

126

5 0

3 years ago

Help help help help math math

aksik [14]

Answer:

8 i think im not really sure

Step-by-step explanation:

3 0

2 years ago