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1 year ago

Three tennis balls are stored in a cylindrical can with

Mathematics

1 answer:

adoni [48]1 year ago

3 0

Answer:

87.9 in³

Step-by-step explanation:

Volume of the can

V = πr²h [volume of a cylinder]
V = 3.14 x 2 x 2 x 8
V = 3.14 x 32
V = 100.48 in³

Volume of 3 tennis balls

V = 4/3πr³ [volume of one sphere]
V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]
V = 4 x 3.14
V = 12.56 in³

Remaining space

Volume of can - Volume occupied by 3 tennis balls
100.48 - 12.56
87.92 in³ ⇒ 87.9 in³

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creativ13 [48]

Answer:

all the time

Step-by-step explanation:

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3 years ago

Read 2 more answers

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

2 years ago

Find x and y in the figure

xxTIMURxx [149]

Answer:

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2 years ago

What is the solution to the system of equations?

yarga [219]

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

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x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

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2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

8 0

3 years ago

mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and potatoes does he need for 15 serving

VLD [36.1K]

Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.

7 0

2 years ago