A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles? in cubic inches

Answers

Answer 1

Answer: To find out how much wax is needed for the candles we need to figure out the volume of each candle. We know radius r=0.5 inches and height h=3 inches of the smallest candle and we know that the middle candle has r2=2r=1 inch and h2=2h=6 inches and the biggest candle has r3=3r=1.5 inches and h3=3h=9 inches. So now we need the formula for volume: V=pi*r^2*h and we simply plug in the numbers. First candle is V=3.14*(0.5^2)*3=2.355 inches^3. Middle candle: V2=3.14*(1^2)*6=18.84 inches^3. Biggest candle: V3=3.14*(1.5^2)*9=63.585 inches^3. So overall wax needed to create all three candles is V+V2+V3=2.355 inches^3 + 18.84 inches^3 + 63.585 inches^3=84.78 inches^3.

Answer 2

Answer:

Answer:

First candle is V=3.14*(0.5^2)*3=2.355 inches^3. Middle candle: V2=3.14*(1^2)*6=18.84 inches^3. Biggest candle: V3=3.14*(1.5^2)*9=63.585 inches^3. So overall wax needed to create all three candles is V+V2+V3=2.355 inches^3 + 18.84 inches^3 + 63.585 inches^3=84.78 inches^3.

Step-by-step explanation:

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HELP!!

Write five different integers that have a mean of -10.

Answers

Answer:
1,2,3,4, -60

Explanation:
The sum of the values = -10 • 5 = -50

1+2+3+4+ (-60) = -50

So
1,2,3,4, -60 are your integers

If 150g of sugar is used for 5 cakes
How much is used for 7 cakes?:)

Answers

Well, if 150 grams is used for 5 cakes, we can divide that.
150/5=30. 30 grams of sugar are used for each cake
You want to know how many grams for 7 cakes
30x7=210 grams of sugar are used for seven cakes.
Hope this helps!

150 g - 5 cakes
x g - 7 cakes

$x=(7\cdot150)/(5)\nx=210$

In hoping to make it onto the school's Gold Team, Bryan, Eli,and Damien took golf lessons over the summer.Bryan signed up to take 4 lessons with a semi-pro instructor, and each lesson cost $32.00 for a 45-minute session. The instructor advised Bryan to buy a bag of bulk practice balls to use during his lessons. After buying a bag of 32 golf balls, the total cost for his lessons and golf balls is $132.48.
Eli signed up to take 6 lessons with a pro instructor, and each lesson cost $52.00 for a 1-hour session. Eli bought a bag of bulk practice balls to use during his lessons. After buying a bag of 40 golf balls, the total cost for his lessons and golf balls is $319.20.
Damien signed up to take 5 lessons with pro instructor, and each lesson cost $28.00 for a 30-minute session. Based on the instructor's advise, he bought a bag of 24 golf balls to use during his lessons. The total cost for his lessons and golf balls is $144.08.
Place the students in order from the least amount to the greatest amount that they paid per golf ball.

Answers

bryan: 32*4 = 128

132.48 - 128 = 4.48

4.48 /32 = 0.14 per golf ball

Eli: 52 *6 = 312

319.20 - 312 = 7.20

7.20 / 40 = 0.18 per golf ball

Damien: 28*5 = 140

144.08 - 140 = 4.08

4.08 / 24 = 0.17 per ball

least to greatest:

Bryan, Damien, Eli

Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, how many ounces of hot dogs is he buying?

Answers

Answer:

120

Step-by-step explanation:

multipy 30 by 4 and you should get 120.

You can even do 30+30+30+30 and it will also add up to 120.

Which choice is equivalent to the expression below? √20 + √80

Answers

Answer:

2(√5 + √20) should be this

Step-by-step explanation:

Jackson has 100 pounds of apples to sell at the farmers market if he divided the apples into 2 1/2 pound bags how many bags will he have to sell

Answers

He would have to sell 40 bags

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