Jack wants to know how much water a spherical ball can hold with a radius of 8 cm?

Answers

Answer 1

Answer:

Answer: 2144.7 cm^3

Step-by-step explanation: You need to find the volume of a sphere with a radius of 8 cm if you want to know how much water Jack can hold.

V = 4/3 π r^3 = 4/3 * π * 8^3 ≈ 2144.7 cm^3

Related Questions

Solve this proportion 10/8=n/10
To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?.
Show work.Simplify 5! 3! / 2! 2!
Use the form y=mx +b for linear equations. Write the equation for the following relation. A = {(x, y): (1, 2), (2, 5), (3, 8), . . .}
Using the figure above, if< A = <D, then< B ___ <E. Choose the relationship symbol that makes the statement true.

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, dd, it will take Katie to collect over 100 seashells

Answers

Answer:

$12d+34>100$

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: $12d+34$

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:

$12d+34>100$

Therefore, the inequality $12d+34>100$ can be used to find the number of days, d, it will take Katie to collect over 100 seashells.

Final answer:

In order to find out when Katie will have over 100 seashells, we use the equation 34 + 12d > 100. After simplifying, the inequality is d > 5.5. So, it will take Katie over 5.5 days to collect over 100 shells.

Explanation:

The question states that Katie already has 34 seashells and finds 12 more each day. This can be represented by the equation 34 + 12d, where d represents the number of days. In order to find out when Katie will have more than 100 seashells, we need to set this equation greater than 100 and solve for d.

So, 34 + 12d > 100. If we subtract 34 from both sides, we get 12d > 66. Then, divide both sides by 12 to solve for d. d > 66/12. The value of d in this case turns out to be approximately 5.5.

This means it will take Katie slightly over 5.5 days to collect over 100 seashells, given that she can use fractions of days to find seashells.

Learn more about Inequality here:

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Calculate y when x = 5

Y=2x+3

Answers

Answer: y=13

Step-by-step explanation:

$y=2(5)+3\nmultiply\ny=10+3\nadd\n10+3=13\ny=13$

y=13

Step-by-step explanation:

given that,

x=5

to find,

y=2x+3, when x=5

substitute 5 in the place of "x" we get,

y=2×5+3

according to BODMAS rule( bracket of division multiplication addition and subtraction) first we have to multiply 5 with 2 and then add the product with 3 we get,

y=10+3

y=13

The sum of twice a number and 10 is 36

Answers

2x+10=36
X=13
Subtract 10 from both sides then divide x

Final answer:

To solve the equation, subtract 10 from both sides and divide by 2 to find the value of x.

Explanation:

To solve this problem, we need to set up an equation using the given information. Let's assume the number is x. We can translate the phrase 'twice a number' into the expression 2x. The equation becomes:

2x + 10 = 36

Next, we can solve for x by subtracting 10 from both sides:

2x = 26

Finally, we divide both sides by 2 to isolate x:

x = 13

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12(y+6)=36y What value of y makes the equation true?

Answers

Answer:

y=3

Step-by-step explanation:

12(y+6)=36y

12y+72=36y

72=24y

y=3

Hope this helps! :)

Answer:

To find the value of y that makes the equation 12(y+6)=36y true, we need to solve for y. Let's break down the steps:

1. Distribute the 12 to both terms inside the parentheses:

12y + 72 = 36y

2. Next, we want to isolate the variable y. To do this, we'll move the 12y term to the other side of the equation by subtracting 12y from both sides:

72 = 24y

3. Now we have 24y on one side. To solve for y, we divide both sides of the equation by 24:

72/24 = y

4. Simplifying the left side gives us:

3 = y

Therefore, the value of y that makes the equation true is y = 3.

What are the roots of the polynomial f(x)=x^2+9x-70?

Answers

Roots of the polynomial are values of x when f(x)=0,so
to find the roots of the polynomial we need to solve the equation
x²+9x-70=0 , a=1, b=9,c=-70

$x= \frac{-b+/- \sqrt{ b^(2)-4ac } }{2a}$

$x= (-9+/- √(81+4*1*70) )/(2) = (-9+/- √(361) )/(2)= (-9+/-19)/(2) x_(1)=5, x_(2)=-14$

The sum of a geometric series of twelve terms with common ratio 2 is 20,475. What is the first term? Needed help please.

Answers

Answer: the first term is 5

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

S12 = 20475

r = 2

n = 12

Therefore,

20475 = (a × 2^(12) - 1)/2 - 1

20475 = (a × 4095)