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3 years ago

How much liquid will fit in the glass shown? Round your answer to the nearest hundredth.

Mathematics

1 answer:

nikitadnepr [17]3 years ago

5 0

Answer:

The cup can hold 497.17 in³ of liquid.

Step-by-step explanation:

The shape of the glass can be divided in two figures, the first one is a cilinder with radius 5 in and height 3 in, while the second is a half sphere with radius 5 in. Therefore in order to calculate the volume of liquid the glass can hold we need to calculate the volume of each of these and sum them.

Vcilinder = pi*r²*h = 3.14*5²*3 = 235.5 in³

Vhalfsphere = (2*pi*r³)/3 = (2*3.14*5³)/3 = 261.67 in³

Vcup = Vcilinder + Vhalfsphere = 235.5 + 261.67 = 497.17 in³

The cup can hold 497.17 in³ of liquid.

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What is the volume of a cylinder with a diameter of 8 name m and a height of 5.5

Cerrena [4.2K]

To begin, you must plug all the values you have into a formula, and also putting them in the right form.

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FINDING RADIUS: With this in mind, now we know that, our diameter must be converted to a radius. To do this, you divide your diameter by two. This gives you, 4 as your radius.

FINDING HEIGHT: In the question you sent, you can tell they've given you, your height, so all you need to do is plug it into the equation.

PLUGGING IT IN:

Your pi, stays the same when using a calculator, just press your pi symbol depending on the calculator you are using. Your radius is 4, therefore it wants you to square it, which is 4x4, which equals 16. Next, you want to multiply it by the height, so just multiply it with your height, 5.5

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3 years ago

Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On th

Allisa [31]

<h3>Question:</h3>

<em>Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On the 2nd day he sold 13 senior tickets for $299. Find the price of a senior citizen ticket.</em>

<h3>Answer:</h3>

$23

Create a system of equations to help you solve this problem. The system of equations will look like: 3s + 12c = 195 and 13s = 299. The variable s represents the cost of senior tickets and the variable c represents the cost of children tickets.

$\left \{ {{3s~+~12c~=~195} \atop {13s~=~299}} \right.$

Solve the second equation for the variable s as this is the easiest way to solve the problem. Solve the second equation for s by dividing both sides of the equation by 13 to isolate the variable s.

s = 23

Since the question was only asking for the price of a senior citizen ticket, you are technically done. The first equation was only put there to confuse you or allow you to check your work if you needed to. The price of a senior citizen ticket (variable s) is $23.

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3 years ago

Roughly estimate the volume of a tennis ball in cubic cm by using 6 cm for diameter and 3 for pi. round the answer to the neares

galben [10]

The volume of ball is 113.04 cubic centimeter

<em><u>Solution:</u></em>

Given that we have to find the volume of tennis ball

Since the ball is of sphere shape, we can use the sphere formula

<em><u>The volume of sphere is given by formula:</u></em>

$V = \frac{4}{3} \times \pi \times r^3$

Where, "V" is the volume and "r" is the radius

Given that,

Diameter = 6 cm

Therefore,

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<em><u>Substituting in formula, we get</u></em>

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3 years ago

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dybincka [34]

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4n^3 stands alone. No other term has this format.
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</span>

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3 years ago