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Tanzania [10]
3 years ago
13

Find the Volume of the composite figure below.

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

<h2>972 pi ft^3</h2>

solution,

Volume of this composite figure

= Volume of cylinder+volume of cone

Formula to find volume of cylinder:

\pi \:  {r}^{2} h

Formula to find volume of cone:

\frac{1}{3} \pi {r}^{2} h

Use,

\pi =  \: pi

Here,

Radius of cone= radius of cylinder

=9 ft

Height of cylinder=10 ft

Height of cone=16 ft-10 ft=6 ft

Nowz

Volume of the figure:

\: pi \:  {r}^{2} h +  \frac{1}{3}  \: pi \:  {r}^{2} h \\  =  \: pi \times  {(9)}^{2}  \times 10 +  \frac{1}{3}  \times  \: pi \times  {(9)}^{2}  \times 6 \\  =  \: pi \:  \times 81 \times 10 +  \frac{1}{3}  \times 21 \times 6 \times  \: pi \\  = 810 \: pi + 162 \: pi \\  = 972 \: pi \:  {ft}^{2}

Hope this helps...

Good luck on your assignment...

Luda [366]3 years ago
4 0
Hi I need the didnt for
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Annette [7]

Answer:

The two angles mentioned are alternate interior angles, so they are congruent.

303 feet.

Step-by-step explanation:

If you draw off the flag you can see they are alternate interior and are congruent.

Also again, make a diagram it really helps a lot

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6 0
2 years ago
Please help due ASAP <br> Show workings
Minchanka [31]

Answer:

WZ = 30

Step-by-step explanation:

set up equation based on WZ = W'Z'

3/4[6x + 10] = 13x - 35

multiply each side of equation by 4 to eliminate fractions:

18x + 30 = 52x - 140

-34x = -170

x = 5

substitute 5 for 'x' in either expression:

13(5) - 35

65 - 35 = 30

6 0
3 years ago
Read 2 more answers
Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2
hjlf
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6 0
3 years ago
Xft
salantis [7]

Answer:

640.0

Step-by-step explanation:

7 0
3 years ago
*Find the area of the figure below. Use 3.14 for pi.<br><br> Area= square inches
alex41 [277]

Answer:

100.26

Step-by-step explanation:

You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.

This is what that would look like:

1. Divide 6 (the diameter) by 2 because r=\frac{1}{2} d

r=\frac{1}{2} 6

r=3

2. plug into the formula A=\pi r^{2}

A=\pi 3^{2}

3. square the 3

A=\pi 9

4. multiply 9 by 3.14 (pi)

A=28.26

This means the area of both the semi circles added together would equal 28.26

Then you would use the formula A=lw to find the area of the rectangle

1. plug in the numbers given

A= 12 · 6

2. solve

A=72

Then add the area of the semicircles to the area of the rectangle

A=28.26+72

to get the area of the entire figure:

A=100.26

3 0
3 years ago
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