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ivann1987 [24]
3 years ago
12

What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary. A cone with height 8 inches

and volume 52 inches cubed. 14.7 inches squared 17.3 inches squared 18.5 inches squared 19.5 inches squared
Mathematics
2 answers:
docker41 [41]3 years ago
7 0

Answer:

The area of the circle is 19.5 in²

Step-by-step explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume  = 52 in³

r = radius

h = height  = 8 in

π = 3.14

v = 1/3 * π * r² * h

we solve r

3 * v /h * π = r²

we replace the known values

3 * 52 in³ / 3.14 * 8 in = r²

156 in³ / 25.12 in = r²

6.21 in² = r²

√6.21 in² = r

2.49 in = r

now that we have the radius we need to use the area formula of a circle:

a = area

r = radius = 2.49 in

π = 3.14

a = π * r²

we replace the known values

a = 3.14 * (2.49 in)²

a = 3.14 * 6.21 in²

a = 19.5 in²

The area of the circle is 19.5 in²

denpristay [2]3 years ago
7 0

Answer:

19.5

Step-by-step explanation:

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d is 6

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2 years ago
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On a long hike Lucy drank 6 pints of water. How much is this in quarts?
Ostrovityanka [42]

On a long hike Lucy drank 6 pints of water, which is equal to 3 quarts.

<h3>What is quarts?</h3>

An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One liter is roughly equivalent to each. It is divided into four cups or two pints (in the US). The precise dimensions of the quart have historically changed in line with shifting values of gallons over time and in relation to various commodities.

A measure of liquid capacity that is equal to two pints or a quarter of a gallon, or roughly 0.94 liter in the US and 1.13 liter in the UK.

Since, 1 quart = 2 pints

Therefore by unitary method we can say,

2pint= 1 quart

6pint= 3quarts

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5 0
1 year ago
Still timed. More math needing help with, i'll double points and mark brainliest! 1. (y - 6) (y + 3) 2. (4x - 5) (x - 7) 3.(3x -
wlad13 [49]

Answer:

1. y² - 3x - 18

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Step-by-step explanation:

All we do with these questions are expanding the factored binomials. Use FOIL:

1. y² + 3y - 6y - 18

y² - 3y - 18

2. 4x² - 28x - 5x + 35

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3. 12x² - 3x - 8x + 2

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3 years ago
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Elena L [17]
The list of choices you included doesn't have any correct expressions on it.

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-- (150-ft going up) plus (150-ft coming down)  =  300-ft traveled all together.
8 0
3 years ago
Kim is making a bouquet for her friend. She used x tulips and some daffodils in the bouquet. The number of daffodils is equal to
Zolol [24]

Answer:

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Step-by-step explanation:

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So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.

So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.

Sorry I am bad at explaining things, but I hope this helps anyway!

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3 years ago
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