What is the volume of a hemisphere with a radius of 3 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer 1
Answer:

The Volume of sphere whose radius is 3 cm = 113 cm^(3) (rounded to the nearest tenth)

Volume= 113 cm^(3)

What is Volume of sphere?

The volume of a sphere = 4/3 r³, where r is the radius of the sphere.

Volume of sphere = (4)/(3) * \pi* r^(3)

                               = (4)/(3) * 3.14* (3)^(3)

                               = 4 x 3.14 x 9

                               =113.04 cm^(3)

                               ≈ 113 cm^(3) (rounded to the nearest tenth)

Learn more about Volume of sphere here:

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Answer 2
Answer:

Final answer:

The volume of a hemisphere with a radius of 3 cm is approximately 56.6 cm³ when rounded to the nearest tenth of a cubic centimeter. This is calculated by halving the volume of a sphere with the same radius.

Explanation:

Calculating the Volume of a Hemisphere

The question asks for the volume of a hemisphere with a radius of 3 cm. The formula for the volume of a sphere is V = (4/3)πr³, and since a hemisphere is half of a sphere, the formula adapts to V = (1/2)(4/3)πr³. Using a radius (r) of 3 cm, we get V = (1/2)(4/3)π(3 cm)³.

Let's calculate the volume step by step:

  1. First, calculate the volume of the full sphere using the radius of 3 cm: V = (4/3)π(3³) cm³
  2. Compute the result: V = (4/3)(π)(27) cm³ = (36π) cm³
  3. Since we want the volume of the hemisphere, we divide this number by 2: V = (36π/2) cm³ = (18π) cm³
  4. Finally, we approximate π to 3.142 and round to the nearest tenth: V ≈ 18(3.142) cm³ ≈ 56.6 cm³

Therefore, the approximate volume of the hemisphere is 56.6 cm³, when rounded to the nearest tenth of a cubic centimeter.


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Inequalities

Answers

The answer to this question is the one on the left then the right then the one sign is the correct answer
Answer: 35x+20≥1,000; x ≤28


Explanation:

There is already 20 bags and 35 bags are filled per hour. So 35 is the rate of change and 20 is the constant

35x+20 ≥1,000
-20 -20

35x ≥980
Divide both sides by 35 to isolate x
=28

Flip the sign because you divided

x≤28

How do i find the height of an object if I only have the area, the length, and the width?

Answers

Well technicaly speaking wouldnt the width or the length be the height? Depending on what way the object is facing and is and what sides the length and width are applied to. Enjoy!=) 
area=legnth times width

normally you would subsiutte legnth for height when solving for the area of a triangle

if you have legnth, witdth, and height, then you have volume like volume of a fish tank

so
area=legnth times width
if you meant volume then if you have the area then
area=legnth times width
volume=legnth times width times height
so to solve for height when you know volume, area, legnth , width, then
divide both sides by (legnth times width or area)
volume/(legnth times width)=height

Which sets of numbers are closed under division? Choose all answers that are correct. A. rational numbers B. integers C. {–1, 0, 1} D. whole numbers

Answers

The answer to your question is A. rational numbers.

Rational numbers are closed under any set of operations.

Integers are not closed under division because 1/2 is not an integer.

The set {-1, 0, 1} is also not closed under division because -1/5 does not fall in that set.

Whole numbers are not closed under division because 5/3 will produce a number that is not a whole integer.

Your answer is A. rational numbers.
A. Rational numbers are closed under division.

If you divide a rational number, it will remain a rational number. If you divide an integer or a whole number, there is a chance that the new resulting number will not be an integer or a whole number.

The probability that james will win two races in the next two days is 1/8 for tomorrow and 1/10 for the day after tomorrow. What is P(win tomorrow, then win the day after tomorroww)?

Answers

Answer:

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(80)[\tex]</p><p><strong>Step-by-step explanation:</strong></p><p><strong>Given : </strong> The probability that James will win two races in the next two days is 1/8 for tomorrow and 1/10 for the day after tomorrow.</p><p><strong>To find :</strong>  What is P(win tomorrow, then win the day after tomorrow)?</p><p><strong>Solution :</strong></p><p>Probability of winning two races in the next two days is</p><p><strong>For tomorrow - </strong> [tex](1)/(8)

For day after tomorrow - (1)/(10)

According to question :

Probability of win tomorrow, then win the day after tomorrow is given by multiple of probability of tomorrow and day after tomorrow.

i.e,

\text{P(win tomorrow, then win the day after tomorrow)}=\text{P(tomorrow)}* \text{P(day after tomorrow)}

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(8)* (1)/(10)

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(80)

1/80 because 1/8 times 1/10 equals 1/89

Which systems of equations have infinite solutions?

Answers

Answer:

addition

Step-by-step explanation:

Which shows another way to write 95?A.
9 × 5

B.
9 + 5

C.
9 + 9 + 9 + 9 + 9

D.
9 × 9 × 9 × 9 × 9

Answers

Nine to the fifth power is nine multiplied by nine five times so D. is the answer.
I think theres a mistake
A=45
B=14
C=45
D=59049

I would pick C though since its the closest