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Klio2033 [76]
3 years ago
6

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Mathematics
1 answer:
zysi [14]3 years ago
5 0
Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h

The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.

Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³   (remember: volume of a cylinder=πr²h)

Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³
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What is the measure of arc CD?
CaHeK987 [17]

Option C:

The measure of arc CD is 40°.

Solution:

Given data:

m∠X = 11° and m(arc AB) = 18°

To find the measure of arc CD:

We know that,

<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>

$m \angle X =\frac{1}{2}({arc  \ CD}-{arc}  \ AB)

$ 11^\circ =\frac{1}{2}({arc}  \ CD-{18^\circ})

Multiply by 2 on both sides.

22° = arc CD - 18°

Add 18° from both sides.

40° = arc CD

Switch the sides.

arc CD = 40°

Hence the measure of arc CD is 40°.

Option B is the correct answer.

7 0
3 years ago
I don’t understand this at all please help
Deffense [45]

Answer:

You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)

You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)

Step-by-step explanation:

4 0
3 years ago
A cheetah can run at a speed of 60 miles per hour how far can it run in 0.5 hours
damaskus [11]
30 miles
Because you’re cutting the time in half and the same should apply to the speed
4 0
3 years ago
Ight let me get some help with Thai one
VikaD [51]

Answer:

76°

Step-by-step explanation:

The opposite angles of a parallelogram are equal, so if one angle is 76°, then the opposite angle will be the same.

I hope this helps!

4 0
3 years ago
Jennifer sold 57 pieces of art if she sold twice as many paintings as sculptures how many painting did she sell??
Westkost [7]

so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.

we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.

\bf \cfrac{paintings}{sculptures}\qquad 2:1\qquad \cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{57}{2+1}}{1\cdot \frac{57}{2+1}}\implies \cfrac{2\cdot 19}{1\cdot 19}\implies \cfrac{\boxed{38}}{19}

3 0
3 years ago
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