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3 years ago

A heavy metal sphere

Mathematics

1 answer:

GaryK [48]3 years ago

7 0

Answer: the height of the water after the sphere is placed in

it is 33.33 cm

Step-by-step explanation:

The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as

Volume = πr^2h

Where

π is a constant whose value is 3.14

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

r = 10 cm

h = height of water in the cylinder = 20 cm

Volume of water in the cylinder before the sphere was placed in it would be

V = 3.14 × 10^2 × 20 = 6280 cm^3

The formula for determining the volume of the sphere is expressed as

Volume = 4/3 πr^3

V = 4/3 × 3.14 × 10^3 = 4186.67cm^3

Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2

To determine the new height of the water,

10466.67 = 3.14 × 10^2× h

h = 10466.67/314 = 33.33 cm

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Help with this math question plz

PtichkaEL [24]

Answer: The length of LK is 40.

Step-by-step explanation:

LK = 6x+10

KM = 2x+8

LM = 58

LM = LK + KM

or, 58 = 6x+10+2x+8

or, 58 = 8x + 18

or, 58-18 = 8x

or, 8x = 40

so, x = 5

now

LK = 6x + 10

= 6*5+10

= 30 +10

= 40

5 0

3 years ago

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.

Anton [14]

Answer:

The equation of line with given points and perpendicular to y-axis is

y = - 7

Step-by-step explanation:

Given as :

The given points as ( - 10 , - 7)

The equation of line is Y = mX + c

So The line will satisfy given points

Or, - 7 = m ( -10 ) + c

Now This line is perpendicular to y- axis

∴ The slop of line perpendicular to y axis is 0

So, - 7= 0 + c

or, c = - 7

∴ Equation of line is y = 0 + c

Or, y = - 7

Hence The equation of line with given points and perpendicular to y-axis is y = - 7 Answer

8 0

3 years ago

Two-step equations. Solve X

pickupchik [31]

Answer:

x = - 9

Explanation: divide both sides = x+3= - 6

Move the consonant to the right: x= - 6-3

Solve : x = - 9

4 0

3 years ago

Read 2 more answers

The graph of the function f(x)=4/5 sqrt x is shown.<br> What is the domain of the function?

S_A_V [24]

Answer:

All real number greater than equal to zero.

Step-by-step explanation:

The function is given by

$f(x) = \frac{4}{5}\sqrt x$

The domain is defined as the input values so that the function is well defined.

here, the values of x should be all real number and zero also.

So, the correct option is (d).

5 0

3 years ago

Find m abc (6x-7) (4x+23)

Salsk061 [2.6K]

Answer:

m∠ABC = 83°

Step-by-step explanation:

The angle ∠abc and ∠dbe are opposed by the vertex. By definition "<em>Two angles opposite the vertex are congruent or equal</em>"

So ∠abc = ∠dbe

Then, to solve this problem you must match both expressions and clear the variable x.

$(6x-7) = (4x + 23)\\6x - 7 -4x = 23\\2x = 30\\x = 15$

Now substitute x = 15 in the given expression for the angle ∠abc. (6x-7)

So, we have:

$6(15) -7\\= 90 - 7\\= 83\°$ °

Finally, the angle is 83°

8 0

4 years ago