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3 years ago

What is the volume of the composite figure? Express the answer in terms of π.

Mathematics

2 answers:

topjm [15]3 years ago

8 0

Answer:

312π mm³

Step-by-step explanation:

Given:

Oblique cone height, h = 14 mm

radius of half sphere = base radius of cone, r = 6 mm

Recall the volume of 1/2 - sphere

= 1/2 x volume of sphere

= 1/2 x (4π/3) r³

= 1/2 x (4π/3) (6)³

= 144π

Also volume of an oblique cone =

=volume of a right cone

= (π/3) r²h

= (π/3) 6²(14)

=168π

Volume of composite figure = 144π + 168π = 312π mm³

Oksi-84 [34.3K]3 years ago

3 0

Answer: c

Step-by-step explanation:

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Help me plz The formula K=59(F−32)+273.15 converts temperatures from Fahrenheit F to Kelvin K.

quester [9]

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

$k = 59(f - 32) + 273.15$

Subtract the sides of the equation minus -273.15

$k - 273.15 = 59(f - 32)$

Divided the sides of the equation by 59

$\frac{k - 273.15}{59} = \frac{59}{59} (f - 32) \\$

$\frac{k - 273.15}{59} = f - 32 \\$

Subtract the sides of the equation plus 32

$\frac{k - 273.15}{59} + 32 = f \\$

And we're done.

Thanks for watching buddy good luck.

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7 0

3 years ago

a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma

NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

$y = 2x + 3$

also

y is equal to twice the sum of the smaller number and 1.

$y = 2x + 1$

so the system of equations become

$y = 2x + 3$

$y = 2x + 1$

solving

$\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}$

$\mathrm{Subsititute\:}y=2x+1$

$\begin{bmatrix}2x+1=2x+3\end{bmatrix}$

$\mathrm{Refine\:}2x+1=2x+3$

$-2=0$

$-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}$

$\mathrm{No\:Solution}$

Therefore, there is NO solution.

7 0

3 years ago

Consider the given function.

Natali5045456 [20]

Answer:

Step-by-step explanation:

f(x) = x^2 -14x -72

0=x^2 - 14x-72

0=x^2 - 18x+4x-72

0=x(x-18)+4(x-18)

0=(x-18)(x+4)

x-18=0 or x+4=0

x1=18 or x2=-4

asis of symmetry: x=(x1+x2)/2

x=(18+(-4))/2

x=14/2

x=7

3 0

3 years ago

Find the length of molding needed for a 10'5" by 9'8" floor

disa [49]

Perimeter = 2(length + width)
p = 2(10'5" + 9'8")
p = 2(19'13")
p = 38'26"

26" = 2'4"

So...
38' + 2'4" = 40' 4" for the perim,eter

4 0

3 years ago

What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}

Simora [160]

Answer:

The MAD of {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Step-by-step explanation:

Step 1 : Add all the values Up:

 $12+10+10+8+6+7+7+12=72$

Step 2 : Divide them by the number of items or numbers:

$\frac{12+10+10+8+6+7+7+12}{8}=9$

Step 3: Find the absolute deviations:

$12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3\\$

Step 4: Add all the absolute deviations:

$3+1+1+1+3+2+2+3=16$

Step 5: Find the mean:

$\frac{3+1+1+1+3+2+2+3}{8}=2$

7 0

3 years ago