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alex41 [277]
3 years ago
5

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 5 inches and a height of 16 inch

es.
Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0

Answer:

V=400{\pi} in^3

Step-by-step explanation:

Cavalieri’s Principle: If in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.

Thus, we are given that the radius of the cylinder is 5 inches and height is 16 inches, therefore volume of oblique cylinder is given as:

V={\pi}r^2h

Substituting the given values,, we have

V={\pi}(5)^2(16)

V={\pi}(25)(16)

V=400{\pi} in^3

Thus, the volume of the oblique cylinder is 400π cubic inches.

Oliga [24]3 years ago
5 0
V= (pi)r^29(h)
V= (pi) 25(16)

V= 400(pi) in^3
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The length of a rectangle is five times its width.
lisov135 [29]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{125 \:  {cm}^{2} }}}}}

Step-by-step explanation:

Let the width be 'w'

Length of a rectangle = 5w

Perimeter of a rectangle = 60 cm

Area of a rectangle = ?

<u>First</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>width </u><u>'</u><u> </u><u>w</u><u> </u><u>'</u>

\boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}

plug the values

⇒\sf{60 = 2(5w + w)}

Distribute 2 through the parentheses

⇒\sf{60 = 10w + 2w}

Collect like terms

⇒\sf{60 = 12w}

Swap the sides of the equation

⇒\sf{12w = 60}

Divide both sides of the equation by 12

⇒\sf{ \frac{12w}{12}  =  \frac{60}{12} }

Calculate

⇒\sf{w = 5} cm

<u>Finding </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>length</u><u> </u><u>(</u><u> </u><u>l</u><u> </u><u>)</u>

\sf{length = 5w}

Substitute the value of w

⇒\sf{length = 5 \times 5}

⇒\sf{length = 25 \: cm}

<u>Finally</u><u>,</u><u> </u><u>Finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>rectangle</u><u> </u><u>having</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>2</u><u>5</u><u> </u><u>cm </u><u>and</u><u> </u><u>width </u><u>of</u><u> </u><u>5</u><u> </u><u>cm</u>

\boxed{ \sf{area \: of \:  a \: rectangle = l \times b}}

plug the values

⇒\sf{area \:  =  \: 25 \times 5}

Multiply the numbers

⇒\sf{area \:  =  \: 125 \:  {cm}^{2} }

Hope I helped!

Best regards!!

4 0
3 years ago
7.Austin has no money so he borrowed $28 over eight days from Kayla. How much did Austin borrow from Kayla each day? Show your w
MAXImum [283]
#7. let x = the amount of money he borrows each day. so, the equation would be 8x (because it’s over 8 days, so 8 times x) = 28

so equation: 8x=28
then solve for x, which is 3.5 so $3.50
4 0
3 years ago
Rich bought two baseballs for $ 4 each and two basketballs for $ 22 each. Use the distributive property to find the total cost.?
Mama L [17]
2x4 + 2x22
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4 0
3 years ago
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What is an equation of the line that passes through the points (-8,-4) and (-6,-5)?
padilas [110]

Answer:

y=-2x-20

Step-by-step explanation:

y=mx+b

m=(y2-y1)/(x2-x1)

m=(-5+4)/(-6+8)

m=-1/2

y=-1/2x+b

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-4=4+b

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y=-1/2x-8

Hope this helped! Please mark brainliest :)

5 0
3 years ago
How do you do this? It's due tomorrow
Korvikt [17]
Lets think they have cards,  Alex = x , Gil = y and Meg = z. Then,
x+y+z = 740

Alex had 20 fewer cards than Gil. So,
x+20 = y

Alex had 120 fewer cards than Meg. So,
x+120 = z

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3x + 140 = 740
x= 200

y= 220
z= 320

<span>So Alex had 200 cards, Gil had 220 cards and Meg had 340 cards</span>
4 0
3 years ago
Read 2 more answers
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